[{"quality_controlled":0,"title":"Analytic anti-aliasing of linear functions on polytopes","date_published":"2012-05-13T00:00:00Z","publisher":"Wiley-Blackwell","conference":{"name":"EUROGRAPHICS: European Association for Computer Graphics"},"volume":31,"year":"2012","main_file_link":[{"url":"https://www.cg.tuwien.ac.at/research/publications/2012/Auzinger_2012_AAA/","open_access":"1"}],"page":"335 - 344","date_created":"2018-12-11T11:56:40Z","intvolume":"        31","abstract":[{"lang":"eng","text":"This paper presents an analytic formulation for anti-aliased sampling of 2D polygons and 3D polyhedra. Our framework allows the exact evaluation of the convolution integral with a linear function defined on the polytopes. The filter is a spherically symmetric polynomial of any order, supporting approximations to refined variants such as the Mitchell-Netravali filter family. This enables high-quality rasterization of triangles and tetrahedra with linearly interpolated vertex values to regular and non-regular grids. A closed form solution of the convolution is presented and an efficient implementation on the GPU using DirectX and CUDA C is described. "}],"doi":"http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x","publist_id":"4676","issue":121,"status":"public","_id":"2268","citation":{"apa":"Auzinger, T., Guthe, M., &#38; Jeschke, S. (2012). Analytic anti-aliasing of linear functions on polytopes (Vol. 31, pp. 335–344). Presented at the EUROGRAPHICS: European Association for Computer Graphics, Wiley-Blackwell. <a href=\"http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x\">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a>","mla":"Auzinger, Thomas, et al. <i>Analytic Anti-Aliasing of Linear Functions on Polytopes</i>. Vol. 31, no. 121, Wiley-Blackwell, 2012, pp. 335–44, doi:<a href=\"http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x\">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a>.","ista":"Auzinger T, Guthe M, Jeschke S. 2012. Analytic anti-aliasing of linear functions on polytopes. EUROGRAPHICS: European Association for Computer Graphics, Computer Graphics Forum, vol. 31, 335–344.","ieee":"T. Auzinger, M. Guthe, and S. Jeschke, “Analytic anti-aliasing of linear functions on polytopes,” presented at the EUROGRAPHICS: European Association for Computer Graphics, 2012, vol. 31, no. 121, pp. 335–344.","chicago":"Auzinger, Thomas, Michael Guthe, and Stefan Jeschke. “Analytic Anti-Aliasing of Linear Functions on Polytopes,” 31:335–44. Wiley-Blackwell, 2012. <a href=\"http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x\">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a>.","ama":"Auzinger T, Guthe M, Jeschke S. Analytic anti-aliasing of linear functions on polytopes. In: Vol 31. Wiley-Blackwell; 2012:335-344. doi:<a href=\"http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x\">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a>","short":"T. Auzinger, M. Guthe, S. Jeschke, in:, Wiley-Blackwell, 2012, pp. 335–344."},"day":"13","author":[{"orcid":"0000-0002-1546-3265","id":"4718F954-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","full_name":"Thomas Auzinger","last_name":"Auzinger"},{"full_name":"Guthe, Michael","first_name":"Michael","last_name":"Guthe"},{"last_name":"Jeschke","first_name":"Stefan","full_name":"Stefan Jeschke","id":"44D6411A-F248-11E8-B48F-1D18A9856A87"}],"oa":1,"extern":1,"publication_status":"published","date_updated":"2021-01-12T06:56:24Z","acknowledgement":"Funding was provided by the FWF grant P20768-N13.\nWe want to thank the reviewers for their insightful and helpful remarks, Hang Si for making available TetGen and Stefan Bruckner for VolumeShop.","type":"conference","month":"05","alternative_title":["Computer Graphics Forum"]},{"department":[{"_id":"ToHe"},{"_id":"CaGu"}],"oa_version":"None","date_updated":"2021-01-12T06:56:38Z","author":[{"last_name":"Henzinger","first_name":"Thomas A","full_name":"Henzinger, Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","orcid":"0000−0002−2985−7724"},{"full_name":"Mateescu, Maria","id":"3B43276C-F248-11E8-B48F-1D18A9856A87","first_name":"Maria","last_name":"Mateescu"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Henzinger TA, Mateescu M. 2012. The propagation approach for computing biochemical reaction networks. IEEE ACM Transactions on Computational Biology and Bioinformatics. 10(2), 310–322.","mla":"Henzinger, Thomas A., and Maria Mateescu. “The Propagation Approach for Computing Biochemical Reaction Networks.” <i>IEEE ACM Transactions on Computational Biology and Bioinformatics</i>, vol. 10, no. 2, IEEE, 2012, pp. 310–22, doi:<a href=\"https://doi.org/10.1109/TCBB.2012.91\">10.1109/TCBB.2012.91</a>.","apa":"Henzinger, T. A., &#38; Mateescu, M. (2012). The propagation approach for computing biochemical reaction networks. <i>IEEE ACM Transactions on Computational Biology and Bioinformatics</i>. IEEE. <a href=\"https://doi.org/10.1109/TCBB.2012.91\">https://doi.org/10.1109/TCBB.2012.91</a>","ieee":"T. A. Henzinger and M. Mateescu, “The propagation approach for computing biochemical reaction networks,” <i>IEEE ACM Transactions on Computational Biology and Bioinformatics</i>, vol. 10, no. 2. IEEE, pp. 310–322, 2012.","short":"T.A. Henzinger, M. Mateescu, IEEE ACM Transactions on Computational Biology and Bioinformatics 10 (2012) 310–322.","ama":"Henzinger TA, Mateescu M. The propagation approach for computing biochemical reaction networks. <i>IEEE ACM Transactions on Computational Biology and Bioinformatics</i>. 2012;10(2):310-322. doi:<a href=\"https://doi.org/10.1109/TCBB.2012.91\">10.1109/TCBB.2012.91</a>","chicago":"Henzinger, Thomas A, and Maria Mateescu. “The Propagation Approach for Computing Biochemical Reaction Networks.” <i>IEEE ACM Transactions on Computational Biology and Bioinformatics</i>. IEEE, 2012. <a href=\"https://doi.org/10.1109/TCBB.2012.91\">https://doi.org/10.1109/TCBB.2012.91</a>."},"type":"journal_article","external_id":{"pmid":["22778152"]},"scopus_import":1,"_id":"2302","year":"2012","volume":10,"publication":"IEEE ACM Transactions on Computational Biology and Bioinformatics","date_created":"2018-12-11T11:56:52Z","title":"The propagation approach for computing biochemical reaction networks","date_published":"2012-07-03T00:00:00Z","project":[{"_id":"25EE3708-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"267989","name":"Quantitative Reactive Modeling"}],"quality_controlled":"1","publication_status":"published","ec_funded":1,"day":"03","month":"07","issue":"2","abstract":[{"lang":"eng","text":"We introduce propagation models (PMs), a formalism able to express several kinds of equations that describe the behavior of biochemical reaction networks. Furthermore, we introduce the propagation abstract data type (PADT), which separates concerns regarding different numerical algorithms for the transient analysis of biochemical reaction networks from concerns regarding their implementation, thus allowing for portable and efficient solutions. The state of a propagation abstract data type is given by a vector that assigns mass values to a set of nodes, and its (next) operator propagates mass values through this set of nodes. We propose an approximate implementation of the (next) operator, based on threshold abstraction, which propagates only &quot;significant&quot; mass values and thus achieves a compromise between efficiency and accuracy. Finally, we give three use cases for propagation models: the chemical master equation (CME), the reaction rate equation (RRE), and a hybrid method that combines these two equations. These three applications use propagation models in order to propagate probabilities and/or expected values and variances of the model's variables."}],"publist_id":"4625","doi":"10.1109/TCBB.2012.91","status":"public","pmid":1,"language":[{"iso":"eng"}],"intvolume":"        10","page":"310 - 322","publisher":"IEEE"},{"_id":"2313","status":"public","publist_id":"4614","abstract":[{"lang":"eng","text":"The translation of &quot;next-generation&quot; sequencing directly to the clinic is still being assessed but has the potential for genetic diseases to reduce costs, advance accuracy, and point to unsuspected yet treatable conditions. To study its capability in the clinic, we performed whole-exome sequencing in 118 probands with a diagnosis of a pediatric-onset neurodevelopmental disease in which most known causes had been excluded. Twenty-two genes not previously identified as disease-causing were identified in this study (19% of cohort), further establishing exome sequencing as a useful tool for gene discovery. New genes identified included EXOC8 in Joubert syndrome and GFM2 in a patient with microcephaly, simplified gyral pattern, and insulin-dependent diabetes. Exome sequencing uncovered 10 probands (8% of cohort) with mutations in genes known to cause a disease different from the initial diagnosis. Upon further medical evaluation, these mutations were found to account for each proband's disease, leading to a change in diagnosis, some of which led to changes in patient management. Our data provide proof of principle that genomic strategies are useful in clarifying diagnosis in a proportion of patients with neurodevelopmental disorders."}],"doi":"10.1126/scitranslmed.3003544","issue":"138","month":"06","type":"journal_article","extern":1,"author":[{"full_name":"Dixon-Salazar, Tracy J","first_name":"Tracy","last_name":"Dixon Salazar"},{"first_name":"Jennifer","full_name":"Silhavy, Jennifer L","last_name":"Silhavy"},{"last_name":"Udpa","first_name":"Nitin","full_name":"Udpa, Nitin"},{"last_name":"Schroth","full_name":"Schroth, Jana","first_name":"Jana"},{"last_name":"Bielas","full_name":"Bielas, Stephanie L","first_name":"Stephanie"},{"first_name":"Ashleigh","full_name":"Schaffer, Ashleigh E","last_name":"Schaffer"},{"last_name":"Olvera","first_name":"Jesus","full_name":"Olvera, Jesus"},{"last_name":"Bafna","full_name":"Bafna, Vineet K","first_name":"Vineet"},{"last_name":"Zaki","first_name":"Maha","full_name":"Zaki, Maha S"},{"last_name":"Abdel Salam","full_name":"Abdel-Salam, Ghada M","first_name":"Ghada"},{"first_name":"Lobna","full_name":"Mansour, Lobna A","last_name":"Mansour"},{"first_name":"Laila","full_name":"Selim, Laila A","last_name":"Selim"},{"last_name":"Abdel Hadi","full_name":"Abdel-Hadi, Sawsan S","first_name":"Sawsan"},{"last_name":"Marzouki","first_name":"Naima","full_name":"Marzouki, Naima"},{"last_name":"Ben Omran","first_name":"Tawfeg","full_name":"Ben-Omran, Tawfeg I"},{"full_name":"Al-Saana, Nouriya A","first_name":"Nouriya","last_name":"Al Saana"},{"full_name":"Sönmez, Fatma M","first_name":"Fatma","last_name":"Sönmez"},{"last_name":"Celep","full_name":"Celep, Figen","first_name":"Figen"},{"last_name":"Azam","first_name":"Matloob","full_name":"Azam, Matloob"},{"last_name":"Hill","full_name":"Hill, Kiley J","first_name":"Kiley"},{"first_name":"Adrienne","full_name":"Collazo, Adrienne","last_name":"Collazo"},{"last_name":"Fenstermaker","first_name":"Ali","full_name":"Fenstermaker, Ali G"},{"orcid":"0000-0002-7673-7178","first_name":"Gaia","full_name":"Gaia Novarino","id":"3E57A680-F248-11E8-B48F-1D18A9856A87","last_name":"Novarino"},{"last_name":"Akizu","full_name":"Akizu, Naiara","first_name":"Naiara"},{"full_name":"Garimella, Kiran V","first_name":"Kiran","last_name":"Garimella"},{"full_name":"Sougnez, Carrie L","first_name":"Carrie","last_name":"Sougnez"},{"last_name":"Russ","full_name":"Russ, Carsten","first_name":"Carsten"},{"last_name":"Gabriel","full_name":"Gabriel, Stacey B","first_name":"Stacey"},{"last_name":"Gleeson","first_name":"Joseph","full_name":"Gleeson, Joseph G"}],"day":"13","citation":{"apa":"Dixon Salazar, T., Silhavy, J., Udpa, N., Schroth, J., Bielas, S., Schaffer, A., … Gleeson, J. (2012). Exome sequencing can improve diagnosis and alter patient management. <i>Science Translational Medicine</i>. American Association for the Advancement of Science. <a href=\"https://doi.org/10.1126/scitranslmed.3003544\">https://doi.org/10.1126/scitranslmed.3003544</a>","mla":"Dixon Salazar, Tracy, et al. “Exome Sequencing Can Improve Diagnosis and Alter Patient Management.” <i>Science Translational Medicine</i>, vol. 4, no. 138, American Association for the Advancement of Science, 2012, doi:<a href=\"https://doi.org/10.1126/scitranslmed.3003544\">10.1126/scitranslmed.3003544</a>.","ista":"Dixon Salazar T, Silhavy J, Udpa N, Schroth J, Bielas S, Schaffer A, Olvera J, Bafna V, Zaki M, Abdel Salam G, Mansour L, Selim L, Abdel Hadi S, Marzouki N, Ben Omran T, Al Saana N, Sönmez F, Celep F, Azam M, Hill K, Collazo A, Fenstermaker A, Novarino G, Akizu N, Garimella K, Sougnez C, Russ C, Gabriel S, Gleeson J. 2012. Exome sequencing can improve diagnosis and alter patient management. Science Translational Medicine. 4(138).","chicago":"Dixon Salazar, Tracy, Jennifer Silhavy, Nitin Udpa, Jana Schroth, Stephanie Bielas, Ashleigh Schaffer, Jesus Olvera, et al. “Exome Sequencing Can Improve Diagnosis and Alter Patient Management.” <i>Science Translational Medicine</i>. American Association for the Advancement of Science, 2012. <a href=\"https://doi.org/10.1126/scitranslmed.3003544\">https://doi.org/10.1126/scitranslmed.3003544</a>.","short":"T. Dixon Salazar, J. Silhavy, N. Udpa, J. Schroth, S. Bielas, A. Schaffer, J. Olvera, V. Bafna, M. Zaki, G. Abdel Salam, L. Mansour, L. Selim, S. Abdel Hadi, N. Marzouki, T. Ben Omran, N. Al Saana, F. Sönmez, F. Celep, M. Azam, K. Hill, A. Collazo, A. Fenstermaker, G. Novarino, N. Akizu, K. Garimella, C. Sougnez, C. Russ, S. Gabriel, J. Gleeson, Science Translational Medicine 4 (2012).","ama":"Dixon Salazar T, Silhavy J, Udpa N, et al. Exome sequencing can improve diagnosis and alter patient management. <i>Science Translational Medicine</i>. 2012;4(138). doi:<a href=\"https://doi.org/10.1126/scitranslmed.3003544\">10.1126/scitranslmed.3003544</a>","ieee":"T. Dixon Salazar <i>et al.</i>, “Exome sequencing can improve diagnosis and alter patient management,” <i>Science Translational Medicine</i>, vol. 4, no. 138. American Association for the Advancement of Science, 2012."},"date_updated":"2021-01-12T06:56:43Z","publication_status":"published","publisher":"American Association for the Advancement of Science","quality_controlled":0,"date_published":"2012-06-13T00:00:00Z","title":"Exome sequencing can improve diagnosis and alter patient management","date_created":"2018-12-11T11:56:56Z","intvolume":"         4","volume":4,"publication":"Science Translational Medicine","year":"2012"},{"_id":"2314","status":"public","publist_id":"4613","abstract":[{"lang":"eng","text":"Autism spectrum disorders are a genetically heterogeneous constellation of syndromes characterized by impairments in reciprocal social interaction. Available somatic treatments have limited efficacy. We have identified inactivating mutations in the gene BCKDK (Branched Chain Ketoacid Dehydrogenase Kinase) in consanguineous families with autism, epilepsy, and intellectual disability. The encoded protein is responsible for phosphorylation-mediated inactivation of the E1α subunit of branched-chain ketoacid dehydrogenase (BCKDH). Patients with homozygous BCKDK mutations display reductions in BCKDK messenger RNA and protein, E1α phosphorylation, and plasma branched-chain amino acids. Bckdk knockout mice show abnormal brain amino acid profiles and neurobehavioral deficits that respond to dietary supplementation. Thus, autism presenting with intellectual disability and epilepsy caused by BCKDK mutations represents a potentially treatable syndrome."}],"doi":"10.1126/science.1224631","issue":"6105","month":"10","type":"journal_article","author":[{"first_name":"Gaia","full_name":"Gaia Novarino","id":"3E57A680-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-7673-7178","last_name":"Novarino"},{"last_name":"El Fishawy","first_name":"Paul","full_name":"El-Fishawy, Paul"},{"last_name":"Kayserili","full_name":"Kayserili, Hülya","first_name":"Hülya"},{"first_name":"Nagwa","full_name":"Meguid, Nagwa A","last_name":"Meguid"},{"first_name":"Eric","full_name":"Scott, Eric M","last_name":"Scott"},{"last_name":"Schroth","first_name":"Jana","full_name":"Schroth, Jana"},{"first_name":"Jennifer","full_name":"Silhavy, Jennifer L","last_name":"Silhavy"},{"full_name":"Kara, Majdi","first_name":"Majdi","last_name":"Kara"},{"full_name":"Khalil, Rehab O","first_name":"Rehab","last_name":"Khalil"},{"full_name":"Ben-Omran, Tawfeg I","first_name":"Tawfeg","last_name":"Ben Omran"},{"last_name":"Ercan Sencicek","first_name":"Adife","full_name":"Ercan-Sencicek, Adife G"},{"last_name":"Hashish","full_name":"Hashish, Adel F","first_name":"Adel"},{"last_name":"Sanders","full_name":"Sanders, Stephan J","first_name":"Stephan"},{"first_name":"Abha","full_name":"Gupta, Abha R","last_name":"Gupta"},{"full_name":"Hashem, Hebatalla S","first_name":"Hebatalla","last_name":"Hashem"},{"last_name":"Matern","first_name":"Dietrich","full_name":"Matern, Dietrich"},{"last_name":"Gabriel","full_name":"Gabriel, Stacey B","first_name":"Stacey"},{"first_name":"Lawrence","full_name":"Sweetman, Lawrence","last_name":"Sweetman"},{"full_name":"Rahimi, Yasmeen","first_name":"Yasmeen","last_name":"Rahimi"},{"full_name":"Harris, Robert A","first_name":"Robert","last_name":"Harris"},{"last_name":"State","first_name":"Matthew","full_name":"State, Matthew W"},{"first_name":"Joseph","full_name":"Gleeson, Joseph G","last_name":"Gleeson"}],"extern":1,"day":"19","citation":{"apa":"Novarino, G., El Fishawy, P., Kayserili, H., Meguid, N., Scott, E., Schroth, J., … Gleeson, J. (2012). Mutations in BCKD-kinase lead to a potentially treatable form of autism with epilepsy. <i>Science</i>. American Association for the Advancement of Science. <a href=\"https://doi.org/10.1126/science.1224631\">https://doi.org/10.1126/science.1224631</a>","mla":"Novarino, Gaia, et al. “Mutations in BCKD-Kinase Lead to a Potentially Treatable Form of Autism with Epilepsy.” <i>Science</i>, vol. 338, no. 6105, American Association for the Advancement of Science, 2012, pp. 394–97, doi:<a href=\"https://doi.org/10.1126/science.1224631\">10.1126/science.1224631</a>.","ista":"Novarino G, El Fishawy P, Kayserili H, Meguid N, Scott E, Schroth J, Silhavy J, Kara M, Khalil R, Ben Omran T, Ercan Sencicek A, Hashish A, Sanders S, Gupta A, Hashem H, Matern D, Gabriel S, Sweetman L, Rahimi Y, Harris R, State M, Gleeson J. 2012. Mutations in BCKD-kinase lead to a potentially treatable form of autism with epilepsy. Science. 338(6105), 394–397.","ieee":"G. Novarino <i>et al.</i>, “Mutations in BCKD-kinase lead to a potentially treatable form of autism with epilepsy,” <i>Science</i>, vol. 338, no. 6105. American Association for the Advancement of Science, pp. 394–397, 2012.","chicago":"Novarino, Gaia, Paul El Fishawy, Hülya Kayserili, Nagwa Meguid, Eric Scott, Jana Schroth, Jennifer Silhavy, et al. “Mutations in BCKD-Kinase Lead to a Potentially Treatable Form of Autism with Epilepsy.” <i>Science</i>. American Association for the Advancement of Science, 2012. <a href=\"https://doi.org/10.1126/science.1224631\">https://doi.org/10.1126/science.1224631</a>.","ama":"Novarino G, El Fishawy P, Kayserili H, et al. Mutations in BCKD-kinase lead to a potentially treatable form of autism with epilepsy. <i>Science</i>. 2012;338(6105):394-397. doi:<a href=\"https://doi.org/10.1126/science.1224631\">10.1126/science.1224631</a>","short":"G. Novarino, P. El Fishawy, H. Kayserili, N. Meguid, E. Scott, J. Schroth, J. Silhavy, M. Kara, R. Khalil, T. Ben Omran, A. Ercan Sencicek, A. Hashish, S. Sanders, A. Gupta, H. Hashem, D. Matern, S. Gabriel, L. Sweetman, Y. Rahimi, R. Harris, M. State, J. Gleeson, Science 338 (2012) 394–397."},"publication_status":"published","date_updated":"2021-01-12T06:56:43Z","publisher":"American Association for the Advancement of Science","quality_controlled":0,"title":"Mutations in BCKD-kinase lead to a potentially treatable form of autism with epilepsy","date_published":"2012-10-19T00:00:00Z","page":"394 - 397","date_created":"2018-12-11T11:56:56Z","intvolume":"       338","volume":338,"publication":"Science","year":"2012"},{"doi":"10.1142/9789814449243_0045","abstract":[{"lang":"eng","text":"We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss the absence of binding in the case of large Coulomb repulsion and the corresponding binding-unbinding transition. We also consider the Pekar-Tomasevich approximation to the ground state energy and we study radial symmetry of the ground state density. "}],"publist_id":"4611","status":"public","_id":"2316","citation":{"ama":"Frank R, Lieb É, Seiringer R, Thomas L. Ground state properties of multi-polaron systems. In: World Scientific Publishing; 2012:477-485. doi:<a href=\"https://doi.org/10.1142/9789814449243_0045\">10.1142/9789814449243_0045</a>","short":"R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.","chicago":"Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Ground State Properties of Multi-Polaron Systems,” 477–85. World Scientific Publishing, 2012. <a href=\"https://doi.org/10.1142/9789814449243_0045\">https://doi.org/10.1142/9789814449243_0045</a>.","ieee":"R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Ground state properties of multi-polaron systems,” presented at the ICMP: International Congress on Mathematical Physics, 2012, pp. 477–485.","ista":"Frank R, Lieb É, Seiringer R, Thomas L. 2012. Ground state properties of multi-polaron systems. ICMP: International Congress on Mathematical Physics, 477–485.","apa":"Frank, R., Lieb, É., Seiringer, R., &#38; Thomas, L. (2012). Ground state properties of multi-polaron systems (pp. 477–485). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. <a href=\"https://doi.org/10.1142/9789814449243_0045\">https://doi.org/10.1142/9789814449243_0045</a>","mla":"Frank, Rupert, et al. <i>Ground State Properties of Multi-Polaron Systems</i>. World Scientific Publishing, 2012, pp. 477–85, doi:<a href=\"https://doi.org/10.1142/9789814449243_0045\">10.1142/9789814449243_0045</a>."},"day":"01","extern":1,"author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott H"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"},{"last_name":"Thomas","first_name":"Lawrence","full_name":"Thomas, Lawrence E"}],"oa":1,"date_updated":"2021-01-12T06:56:44Z","publication_status":"published","type":"conference","month":"08","quality_controlled":0,"title":"Ground state properties of multi-polaron systems","date_published":"2012-08-01T00:00:00Z","publisher":"World Scientific Publishing","conference":{"name":"ICMP: International Congress on Mathematical Physics"},"main_file_link":[{"url":"http://arxiv.org/abs/1209.3717","open_access":"1"}],"year":"2012","page":"477 - 485","date_created":"2018-12-11T11:56:57Z"},{"doi":"10.1142/9789814449243_0060","abstract":[{"text":"We present a summary of our recent rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. ","lang":"eng"}],"publist_id":"4610","_id":"2317","status":"public","date_updated":"2021-01-12T06:56:44Z","publication_status":"published","author":[{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert L"},{"full_name":"Hainzl, Christian","first_name":"Christian","last_name":"Hainzl"},{"orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"},{"first_name":"Jan","full_name":"Solovej, Jan P","last_name":"Solovej"}],"oa":1,"extern":1,"day":"01","citation":{"ista":"Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of the Ginzburg-Landau model. ICMP: International Congress on Mathematical Physics, 575–583.","mla":"Frank, Rupert, et al. <i>Microscopic Derivation of the Ginzburg-Landau Model</i>. World Scientific Publishing, 2012, pp. 575–83, doi:<a href=\"https://doi.org/10.1142/9789814449243_0060\">10.1142/9789814449243_0060</a>.","apa":"Frank, R., Hainzl, C., Seiringer, R., &#38; Solovej, J. (2012). Microscopic derivation of the Ginzburg-Landau model (pp. 575–583). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. <a href=\"https://doi.org/10.1142/9789814449243_0060\">https://doi.org/10.1142/9789814449243_0060</a>","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.","ama":"Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of the Ginzburg-Landau model. In: World Scientific Publishing; 2012:575-583. doi:<a href=\"https://doi.org/10.1142/9789814449243_0060\">10.1142/9789814449243_0060</a>","chicago":"Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of the Ginzburg-Landau Model,” 575–83. World Scientific Publishing, 2012. <a href=\"https://doi.org/10.1142/9789814449243_0060\">https://doi.org/10.1142/9789814449243_0060</a>.","ieee":"R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation of the Ginzburg-Landau model,” presented at the ICMP: International Congress on Mathematical Physics, 2012, pp. 575–583."},"month":"08","type":"conference","title":"Microscopic derivation of the Ginzburg-Landau model","date_published":"2012-08-01T00:00:00Z","quality_controlled":0,"conference":{"name":"ICMP: International Congress on Mathematical Physics"},"publisher":"World Scientific Publishing","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1209.1080"}],"year":"2012","date_created":"2018-12-11T11:56:57Z","page":"575 - 583"},{"publisher":"European Mathematical Society","date_published":"2012-06-24T00:00:00Z","title":"Absence of bound states implies non-negativity of the scattering length","quality_controlled":"1","intvolume":"         2","date_created":"2018-12-11T11:56:58Z","page":"321-328","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1204.0435"}],"year":"2012","language":[{"iso":"eng"}],"volume":2,"publication":"Journal of Spectral Theory","_id":"2318","status":"public","issue":"3","abstract":[{"lang":"eng","text":"We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of any kind implies the non-negativity of the scattering length of the interaction potential. "}],"doi":"10.4171/JST/31","publist_id":"4609","month":"06","type":"journal_article","department":[{"_id":"RoSe"}],"oa_version":"Preprint","publication_status":"published","acknowledgement":"Partial financial support by NSERC ","date_updated":"2021-01-12T06:56:44Z","oa":1,"author":[{"last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"citation":{"ista":"Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2(3), 321–328.","mla":"Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” <i>Journal of Spectral Theory</i>, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:<a href=\"https://doi.org/10.4171/JST/31\">10.4171/JST/31</a>.","apa":"Seiringer, R. (2012). Absence of bound states implies non-negativity of the scattering length. <i>Journal of Spectral Theory</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/JST/31\">https://doi.org/10.4171/JST/31</a>","ieee":"R. Seiringer, “Absence of bound states implies non-negativity of the scattering length,” <i>Journal of Spectral Theory</i>, vol. 2, no. 3. European Mathematical Society, pp. 321–328, 2012.","short":"R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.","ama":"Seiringer R. Absence of bound states implies non-negativity of the scattering length. <i>Journal of Spectral Theory</i>. 2012;2(3):321-328. doi:<a href=\"https://doi.org/10.4171/JST/31\">10.4171/JST/31</a>","chicago":"Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” <i>Journal of Spectral Theory</i>. European Mathematical Society, 2012. <a href=\"https://doi.org/10.4171/JST/31\">https://doi.org/10.4171/JST/31</a>."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","day":"24"},{"status":"public","_id":"237","issue":"1","doi":"10.4007/annals.2012.175.1.8","publist_id":"7667","abstract":[{"text":"The Manin conjecture is established for Châtelet surfaces over Q aris-ing as minimal proper smooth models of the surface Y 2 + Z 2 = f(X) in A 3 Q, where f ∈ Z[X] is a totally reducible polynomial of degree 3 without repeated roots. These surfaces do not satisfy weak approximation.","lang":"eng"}],"type":"journal_article","month":"01","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","publication_status":"published","date_updated":"2021-01-12T06:57:04Z","day":"01","citation":{"apa":"De La Bretèche, R., Browning, T. D., &#38; Peyre, E. (2012). On Manin’s conjecture for a family of Châtelet surfaces. <i>Annals of Mathematics</i>. Princeton University Press. <a href=\"https://doi.org/10.4007/annals.2012.175.1.8\">https://doi.org/10.4007/annals.2012.175.1.8</a>","mla":"De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” <i>Annals of Mathematics</i>, vol. 175, no. 1, Princeton University Press, 2012, pp. 297–343, doi:<a href=\"https://doi.org/10.4007/annals.2012.175.1.8\">10.4007/annals.2012.175.1.8</a>.","ista":"De La Bretèche R, Browning TD, Peyre E. 2012. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 175(1), 297–343.","ieee":"R. De La Bretèche, T. D. Browning, and E. Peyre, “On Manin’s conjecture for a family of Châtelet surfaces,” <i>Annals of Mathematics</i>, vol. 175, no. 1. Princeton University Press, pp. 297–343, 2012.","chicago":"De La Bretèche, Régis, Timothy D Browning, and Emmanuel Peyre. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” <i>Annals of Mathematics</i>. Princeton University Press, 2012. <a href=\"https://doi.org/10.4007/annals.2012.175.1.8\">https://doi.org/10.4007/annals.2012.175.1.8</a>.","short":"R. De La Bretèche, T.D. Browning, E. Peyre, Annals of Mathematics 175 (2012) 297–343.","ama":"De La Bretèche R, Browning TD, Peyre E. On Manin’s conjecture for a family of Châtelet surfaces. <i>Annals of Mathematics</i>. 2012;175(1):297-343. doi:<a href=\"https://doi.org/10.4007/annals.2012.175.1.8\">10.4007/annals.2012.175.1.8</a>"},"author":[{"first_name":"Régis","full_name":"de la Bretèche, Régis","last_name":"De La Bretèche"},{"full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","orcid":"0000-0002-8314-0177","last_name":"Browning"},{"full_name":"Peyre, Emmanuel","first_name":"Emmanuel","last_name":"Peyre"}],"extern":1,"publisher":"Princeton University Press","title":"On Manin's conjecture for a family of Châtelet surfaces","date_published":"2012-01-01T00:00:00Z","quality_controlled":0,"date_created":"2018-12-11T11:45:22Z","intvolume":"       175","page":"297 - 343","year":"2012","publication":"Annals of Mathematics","volume":175},{"_id":"238","status":"public","publist_id":"7666","doi":"10.7169/facm/2012.47.2.9","abstract":[{"lang":"eng","text":"For given positive integers a, b, q we investigate the density of solutions (x, y) ∈ Z2 to congruences ax + by2 ≡ 0 mod q."}],"issue":"2","month":"12","type":"journal_article","author":[{"last_name":"Baier","first_name":"Stephan","full_name":"Baier, Stephan"},{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","full_name":"Timothy Browning","orcid":"0000-0002-8314-0177"}],"extern":1,"citation":{"chicago":"Baier, Stephan, and Timothy D Browning. “Inhomogeneous Quadratic Congruences.” <i>Functiones et Approximatio, Commentarii Mathematici</i>. Adam Mickiewicz University Press, 2012. <a href=\"https://doi.org/10.7169/facm/2012.47.2.9\">https://doi.org/10.7169/facm/2012.47.2.9</a>.","ama":"Baier S, Browning TD. Inhomogeneous quadratic congruences. <i>Functiones et Approximatio, Commentarii Mathematici</i>. 2012;47(2):267-286. doi:<a href=\"https://doi.org/10.7169/facm/2012.47.2.9\">10.7169/facm/2012.47.2.9</a>","short":"S. Baier, T.D. Browning, Functiones et Approximatio, Commentarii Mathematici 47 (2012) 267–286.","ieee":"S. Baier and T. D. Browning, “Inhomogeneous quadratic congruences,” <i>Functiones et Approximatio, Commentarii Mathematici</i>, vol. 47, no. 2. Adam Mickiewicz University Press, pp. 267–286, 2012.","mla":"Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Quadratic Congruences.” <i>Functiones et Approximatio, Commentarii Mathematici</i>, vol. 47, no. 2, Adam Mickiewicz University Press, 2012, pp. 267–86, doi:<a href=\"https://doi.org/10.7169/facm/2012.47.2.9\">10.7169/facm/2012.47.2.9</a>.","apa":"Baier, S., &#38; Browning, T. D. (2012). Inhomogeneous quadratic congruences. <i>Functiones et Approximatio, Commentarii Mathematici</i>. Adam Mickiewicz University Press. <a href=\"https://doi.org/10.7169/facm/2012.47.2.9\">https://doi.org/10.7169/facm/2012.47.2.9</a>","ista":"Baier S, Browning TD. 2012. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 47(2), 267–286."},"day":"20","publication_status":"published","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","date_updated":"2021-01-12T06:57:08Z","publisher":"Adam Mickiewicz University Press","quality_controlled":0,"title":"Inhomogeneous quadratic congruences","date_published":"2012-12-20T00:00:00Z","page":"267 - 286","intvolume":"        47","date_created":"2018-12-11T11:45:22Z","volume":47,"publication":"Functiones et Approximatio, Commentarii Mathematici","year":"2012"},{"month":"01","type":"journal_article","publication_status":"published","date_updated":"2021-01-12T06:57:13Z","author":[{"last_name":"Freiji","first_name":"Abraham","full_name":"Freiji, Abraham"},{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"extern":1,"day":"01","citation":{"ista":"Freiji A, Hainzl C, Seiringer R. 2012. The gap equation for spin-polarized fermions. Journal of Mathematical Physics. 53(1).","apa":"Freiji, A., Hainzl, C., &#38; Seiringer, R. (2012). The gap equation for spin-polarized fermions. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.3670747\">https://doi.org/10.1063/1.3670747</a>","mla":"Freiji, Abraham, et al. “The Gap Equation for Spin-Polarized Fermions.” <i>Journal of Mathematical Physics</i>, vol. 53, no. 1, American Institute of Physics, 2012, doi:<a href=\"https://doi.org/10.1063/1.3670747\">10.1063/1.3670747</a>.","ieee":"A. Freiji, C. Hainzl, and R. Seiringer, “The gap equation for spin-polarized fermions,” <i>Journal of Mathematical Physics</i>, vol. 53, no. 1. American Institute of Physics, 2012.","short":"A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).","ama":"Freiji A, Hainzl C, Seiringer R. The gap equation for spin-polarized fermions. <i>Journal of Mathematical Physics</i>. 2012;53(1). doi:<a href=\"https://doi.org/10.1063/1.3670747\">10.1063/1.3670747</a>","chicago":"Freiji, Abraham, Christian Hainzl, and Robert Seiringer. “The Gap Equation for Spin-Polarized Fermions.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2012. <a href=\"https://doi.org/10.1063/1.3670747\">https://doi.org/10.1063/1.3670747</a>."},"_id":"2394","status":"public","issue":"1","publist_id":"4532","doi":"10.1063/1.3670747","abstract":[{"text":"We study the BCS gap equation for a Fermi gas with unequal population of spin-up and spin-down states. For cosh (δ μ/T) ≤ 2, with T the temperature and δμ the chemical potential difference, the question of existence of non-trivial solutions can be reduced to spectral properties of a linear operator, similar to the unpolarized case studied previously in [Frank, R. L., Hainzl, C., Naboko, S., and Seiringer, R., J., Geom. Anal.17, 559-567 (2007)10.1007/BF02937429; Hainzl, C., Hamza, E., Seiringer, R., and Solovej, J. P., Commun., Math. Phys.281, 349-367 (2008)10.1007/s00220-008-0489-2; and Hainzl, C. and Seiringer, R., Phys. Rev. B77, 184517-110 435 (2008)]10.1103/PhysRevB.77.184517. For cosh (δ μ/T) &gt; 2 the phase diagram is more complicated, however. We derive upper and lower bounds for the critical temperature, and study their behavior in the small coupling limit.","lang":"eng"}],"date_created":"2018-12-11T11:57:25Z","intvolume":"        53","year":"2012","volume":53,"publication":"Journal of Mathematical Physics","publisher":"American Institute of Physics","title":"The gap equation for spin-polarized fermions","date_published":"2012-01-01T00:00:00Z","quality_controlled":0},{"doi":"10.1090/S0894-0347-2012-00735-8","publist_id":"4531","abstract":[{"lang":"eng","text":"We give the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. "}],"issue":"3","status":"public","_id":"2395","citation":{"mla":"Frank, Rupert, et al. “Microscopic Derivation of Ginzburg-Landau Theory.” <i>Journal of the American Mathematical Society</i>, vol. 25, no. 3, American Mathematical Society, 2012, pp. 667–713, doi:<a href=\"https://doi.org/10.1090/S0894-0347-2012-00735-8\">10.1090/S0894-0347-2012-00735-8</a>.","apa":"Frank, R., Hainzl, C., Seiringer, R., &#38; Solovej, J. (2012). Microscopic derivation of Ginzburg-Landau theory. <i>Journal of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/S0894-0347-2012-00735-8\">https://doi.org/10.1090/S0894-0347-2012-00735-8</a>","ista":"Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society. 25(3), 667–713.","ieee":"R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation of Ginzburg-Landau theory,” <i>Journal of the American Mathematical Society</i>, vol. 25, no. 3. American Mathematical Society, pp. 667–713, 2012.","chicago":"Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of Ginzburg-Landau Theory.” <i>Journal of the American Mathematical Society</i>. American Mathematical Society, 2012. <a href=\"https://doi.org/10.1090/S0894-0347-2012-00735-8\">https://doi.org/10.1090/S0894-0347-2012-00735-8</a>.","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.","ama":"Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of Ginzburg-Landau theory. <i>Journal of the American Mathematical Society</i>. 2012;25(3):667-713. doi:<a href=\"https://doi.org/10.1090/S0894-0347-2012-00735-8\">10.1090/S0894-0347-2012-00735-8</a>"},"day":"01","extern":1,"author":[{"last_name":"Frank","full_name":"Frank, Rupert L","first_name":"Rupert"},{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan P"}],"oa":1,"publication_status":"published","date_updated":"2021-01-12T06:57:13Z","type":"journal_article","month":"01","quality_controlled":0,"title":"Microscopic derivation of Ginzburg-Landau theory","date_published":"2012-01-01T00:00:00Z","publisher":"American Mathematical Society","publication":"Journal of the American Mathematical Society","volume":25,"year":"2012","main_file_link":[{"url":"http://arxiv.org/abs/1102.4001","open_access":"1"}],"page":"667 - 713","intvolume":"        25","date_created":"2018-12-11T11:57:25Z"},{"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1111.1683"}],"year":"2012","volume":100,"publication":"Letters in Mathematical Physics","date_created":"2018-12-11T11:57:25Z","intvolume":"       100","page":"237 - 243","date_published":"2012-06-01T00:00:00Z","title":"The scattering length at positive temperature","quality_controlled":0,"publisher":"Springer","publication_status":"published","date_updated":"2021-01-12T06:57:13Z","oa":1,"extern":1,"author":[{"full_name":"Landon, Benjamin","first_name":"Benjamin","last_name":"Landon"},{"last_name":"Seiringer","first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"day":"01","citation":{"chicago":"Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” <i>Letters in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s11005-012-0566-5\">https://doi.org/10.1007/s11005-012-0566-5</a>.","short":"B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.","ama":"Landon B, Seiringer R. The scattering length at positive temperature. <i>Letters in Mathematical Physics</i>. 2012;100(3):237-243. doi:<a href=\"https://doi.org/10.1007/s11005-012-0566-5\">10.1007/s11005-012-0566-5</a>","ieee":"B. Landon and R. Seiringer, “The scattering length at positive temperature,” <i>Letters in Mathematical Physics</i>, vol. 100, no. 3. Springer, pp. 237–243, 2012.","apa":"Landon, B., &#38; Seiringer, R. (2012). The scattering length at positive temperature. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-012-0566-5\">https://doi.org/10.1007/s11005-012-0566-5</a>","mla":"Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” <i>Letters in Mathematical Physics</i>, vol. 100, no. 3, Springer, 2012, pp. 237–43, doi:<a href=\"https://doi.org/10.1007/s11005-012-0566-5\">10.1007/s11005-012-0566-5</a>.","ista":"Landon B, Seiringer R. 2012. The scattering length at positive temperature. Letters in Mathematical Physics. 100(3), 237–243."},"month":"06","type":"journal_article","issue":"3","abstract":[{"lang":"eng","text":"A positive temperature analogue of the scattering length of a potential V can be defined via integrating the difference of the heat kernels of -Δ and, with Δ the Laplacian. An upper bound on this quantity is a crucial input in the derivation of a bound on the critical temperature of a dilute Bose gas (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009). In (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009), a bound was given in the case of finite range potentials and sufficiently low temperature. In this paper, we improve the bound and extend it to potentials of infinite range."}],"publist_id":"4529","doi":"10.1007/s11005-012-0566-5","_id":"2396","status":"public"},{"intvolume":"       100","date_created":"2018-12-11T11:57:25Z","page":"119 - 138","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1105.1100"}],"year":"2012","publication":"Letters in Mathematical Physics","volume":100,"publisher":"Springer","date_published":"2012-05-01T00:00:00Z","title":"Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs","quality_controlled":0,"type":"journal_article","month":"05","publication_status":"published","date_updated":"2021-01-12T06:57:14Z","day":"01","citation":{"mla":"Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” <i>Letters in Mathematical Physics</i>, vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:<a href=\"https://doi.org/10.1007/s11005-011-0535-4\">10.1007/s11005-011-0535-4</a>.","apa":"Hainzl, C., &#38; Seiringer, R. (2012). Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-011-0535-4\">https://doi.org/10.1007/s11005-011-0535-4</a>","ista":"Hainzl C, Seiringer R. 2012. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. 100(2), 119–138.","chicago":"Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” <i>Letters in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s11005-011-0535-4\">https://doi.org/10.1007/s11005-011-0535-4</a>.","ama":"Hainzl C, Seiringer R. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. <i>Letters in Mathematical Physics</i>. 2012;100(2):119-138. doi:<a href=\"https://doi.org/10.1007/s11005-011-0535-4\">10.1007/s11005-011-0535-4</a>","short":"C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.","ieee":"C. Hainzl and R. Seiringer, “Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs,” <i>Letters in Mathematical Physics</i>, vol. 100, no. 2. Springer, pp. 119–138, 2012."},"extern":1,"author":[{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"oa":1,"status":"public","_id":"2397","issue":"2","abstract":[{"lang":"eng","text":"We consider the low-density limit of a Fermi gas in the BCS approximation. We show that if the interaction potential allows for a two-particle bound state, the system at zero temperature is well approximated by the Gross-Pitaevskii functional, describing a Bose-Einstein condensate of fermion pairs."}],"publist_id":"4530","doi":"10.1007/s11005-011-0535-4"},{"_id":"2398","status":"public","doi":"10.1142/S0129055X12300026","abstract":[{"text":"We extend the mathematical theory of quantum hypothesis testing to the general W*-algebraic setting and explore its relation with recent developments in non-equilibrium quantum statistical mechanics. In particular, we relate the large deviation principle for the full counting statistics of entropy flow to quantum hypothesis testing of the arrow of time.","lang":"eng"}],"publist_id":"4528","issue":"6","month":"07","type":"review","oa":1,"author":[{"full_name":"Jakšić, Vojkan","first_name":"Vojkan","last_name":"Jakšić"},{"last_name":"Ogata","first_name":"Yoshiko","full_name":"Ogata, Yoshiko"},{"first_name":"Claude","full_name":"Pillet, Claude A","last_name":"Pillet"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Robert Seiringer","last_name":"Seiringer"}],"extern":1,"citation":{"ieee":"V. Jakšić, Y. Ogata, C. Pillet, and R. Seiringer, “Quantum hypothesis testing and non-equilibrium statistical mechanics,” <i>Reviews in Mathematical Physics</i>, vol. 24, no. 6. World Scientific Publishing, 2012.","chicago":"Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2012. <a href=\"https://doi.org/10.1142/S0129055X12300026\">https://doi.org/10.1142/S0129055X12300026</a>.","short":"V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).","ama":"Jakšić V, Ogata Y, Pillet C, Seiringer R. Quantum hypothesis testing and non-equilibrium statistical mechanics. <i>Reviews in Mathematical Physics</i>. 2012;24(6). doi:<a href=\"https://doi.org/10.1142/S0129055X12300026\">10.1142/S0129055X12300026</a>","mla":"Jakšić, Vojkan, et al. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” <i>Reviews in Mathematical Physics</i>, vol. 24, no. 6, World Scientific Publishing, 2012, doi:<a href=\"https://doi.org/10.1142/S0129055X12300026\">10.1142/S0129055X12300026</a>.","apa":"Jakšić, V., Ogata, Y., Pillet, C., &#38; Seiringer, R. (2012). Quantum hypothesis testing and non-equilibrium statistical mechanics. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X12300026\">https://doi.org/10.1142/S0129055X12300026</a>","ista":"Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6)."},"day":"01","publication_status":"published","date_updated":"2020-07-14T12:45:40Z","publisher":"World Scientific Publishing","quality_controlled":0,"title":"Quantum hypothesis testing and non-equilibrium statistical mechanics","date_published":"2012-07-01T00:00:00Z","intvolume":"        24","date_created":"2018-12-11T11:57:26Z","volume":24,"publication":"Reviews in Mathematical Physics","main_file_link":[{"url":"http://arxiv.org/abs/1109.3804","open_access":"1"}],"year":"2012"},{"volume":2051,"publication":"Quantum Many Body Systems","year":"2012","page":"55 - 92","date_created":"2018-12-11T11:57:26Z","intvolume":"      2051","quality_controlled":0,"date_published":"2012-01-01T00:00:00Z","title":"Cold quantum gases and bose einstein condensation","publisher":"Springer","extern":1,"author":[{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"citation":{"chicago":"Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” In <i>Quantum Many Body Systems</i>, edited by Vincent Rivasseau, Robert Seiringer, Jan Solovej, and Thomas Spencer, 2051:55–92. Springer, 2012. <a href=\"https://doi.org/10.1007/978-3-642-29511-9_2\">https://doi.org/10.1007/978-3-642-29511-9_2</a>.","ama":"Seiringer R. Cold quantum gases and bose einstein condensation. In: Rivasseau V, Seiringer R, Solovej J, Spencer T, eds. <i>Quantum Many Body Systems</i>. Vol 2051. Springer; 2012:55-92. doi:<a href=\"https://doi.org/10.1007/978-3-642-29511-9_2\">10.1007/978-3-642-29511-9_2</a>","short":"R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92.","ieee":"R. Seiringer, “Cold quantum gases and bose einstein condensation,” in <i>Quantum Many Body Systems</i>, vol. 2051, V. Rivasseau, R. Seiringer, J. Solovej, and T. Spencer, Eds. Springer, 2012, pp. 55–92.","mla":"Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” <i>Quantum Many Body Systems</i>, edited by Vincent Rivasseau et al., vol. 2051, Springer, 2012, pp. 55–92, doi:<a href=\"https://doi.org/10.1007/978-3-642-29511-9_2\">10.1007/978-3-642-29511-9_2</a>.","apa":"Seiringer, R. (2012). Cold quantum gases and bose einstein condensation. In V. Rivasseau, R. Seiringer, J. Solovej, &#38; T. Spencer (Eds.), <i>Quantum Many Body Systems</i> (Vol. 2051, pp. 55–92). Springer. <a href=\"https://doi.org/10.1007/978-3-642-29511-9_2\">https://doi.org/10.1007/978-3-642-29511-9_2</a>","ista":"Seiringer R. 2012.Cold quantum gases and bose einstein condensation. In: Quantum Many Body Systems. Lecture Notes in Mathematics, vol. 2051, 55–92."},"day":"01","date_updated":"2021-01-12T06:57:14Z","publication_status":"published","month":"01","type":"book_chapter","alternative_title":["Lecture Notes in Mathematics"],"abstract":[{"text":"Bose–Einstein condensation (BEC) in cold atomic gases was first achieved experimentally in 1995 [1, 6]. After initial failed attempts with spin-polarized atomic hydrogen, the first successful demonstrations of this phenomenon used gases of rubidium and sodium atoms, respectively. Since then there has been a surge of activity in this field, with ingenious experiments putting forth more and more astonishing results about the behavior of matter at very cold temperatures.\n","lang":"eng"}],"doi":"10.1007/978-3-642-29511-9_2","publist_id":"4526","editor":[{"full_name":"Rivasseau, Vincent","first_name":"Vincent","last_name":"Rivasseau"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","first_name":"Robert","last_name":"Seiringer"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan P"},{"last_name":"Spencer","first_name":"Thomas","full_name":"Spencer, Thomas"}],"_id":"2399","status":"public"},{"quality_controlled":0,"title":"Sums of three squareful numbers","date_published":"2012-05-23T00:00:00Z","publisher":"Taylor & Francis","publication":"Experimental Mathematics","volume":21,"year":"2012","page":"204 - 211","date_created":"2018-12-11T11:45:23Z","intvolume":"        21","publist_id":"7664","doi":"10.1080/10586458.2011.605733","abstract":[{"lang":"eng","text":"We investigate the frequency of positive squareful numbers x, y, z≤B for which x+y=z and present a conjecture concerning its asymptotic behavior."}],"issue":"2","status":"public","_id":"240","citation":{"ista":"Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental Mathematics. 21(2), 204–211.","apa":"Browning, T. D., &#38; Valckenborgh, K. V. (2012). Sums of three squareful numbers. <i>Experimental Mathematics</i>. Taylor &#38; Francis. <a href=\"https://doi.org/10.1080/10586458.2011.605733\">https://doi.org/10.1080/10586458.2011.605733</a>","mla":"Browning, Timothy D., and K. Van Valckenborgh. “Sums of Three Squareful Numbers.” <i>Experimental Mathematics</i>, vol. 21, no. 2, Taylor &#38; Francis, 2012, pp. 204–11, doi:<a href=\"https://doi.org/10.1080/10586458.2011.605733\">10.1080/10586458.2011.605733</a>.","ieee":"T. D. Browning and K. V. Valckenborgh, “Sums of three squareful numbers,” <i>Experimental Mathematics</i>, vol. 21, no. 2. Taylor &#38; Francis, pp. 204–211, 2012.","short":"T.D. Browning, K.V. Valckenborgh, Experimental Mathematics 21 (2012) 204–211.","ama":"Browning TD, Valckenborgh KV. Sums of three squareful numbers. <i>Experimental Mathematics</i>. 2012;21(2):204-211. doi:<a href=\"https://doi.org/10.1080/10586458.2011.605733\">10.1080/10586458.2011.605733</a>","chicago":"Browning, Timothy D, and K Van Valckenborgh. “Sums of Three Squareful Numbers.” <i>Experimental Mathematics</i>. Taylor &#38; Francis, 2012. <a href=\"https://doi.org/10.1080/10586458.2011.605733\">https://doi.org/10.1080/10586458.2011.605733</a>."},"day":"23","extern":1,"author":[{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Timothy Browning","last_name":"Browning"},{"last_name":"Valckenborgh","first_name":"K Van","full_name":"Valckenborgh, K Van"}],"acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","date_updated":"2021-01-12T06:57:15Z","publication_status":"published","type":"journal_article","month":"05"},{"month":"07","type":"journal_article","publication_status":"published","date_updated":"2021-01-12T06:57:15Z","oa":1,"author":[{"first_name":"Rupert","full_name":"Frank, Rupert L","last_name":"Frank"},{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott H"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"extern":1,"citation":{"chicago":"Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons and Atoms at Threshold.” <i>Communications in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s00220-012-1436-9\">https://doi.org/10.1007/s00220-012-1436-9</a>.","ama":"Frank R, Lieb É, Seiringer R. Binding of polarons and atoms at threshold. <i>Communications in Mathematical Physics</i>. 2012;313(2):405-424. doi:<a href=\"https://doi.org/10.1007/s00220-012-1436-9\">10.1007/s00220-012-1436-9</a>","short":"R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.","ieee":"R. Frank, É. Lieb, and R. Seiringer, “Binding of polarons and atoms at threshold,” <i>Communications in Mathematical Physics</i>, vol. 313, no. 2. Springer, pp. 405–424, 2012.","mla":"Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” <i>Communications in Mathematical Physics</i>, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:<a href=\"https://doi.org/10.1007/s00220-012-1436-9\">10.1007/s00220-012-1436-9</a>.","apa":"Frank, R., Lieb, É., &#38; Seiringer, R. (2012). Binding of polarons and atoms at threshold. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-012-1436-9\">https://doi.org/10.1007/s00220-012-1436-9</a>","ista":"Frank R, Lieb É, Seiringer R. 2012. Binding of polarons and atoms at threshold. Communications in Mathematical Physics. 313(2), 405–424."},"day":"01","_id":"2400","status":"public","issue":"2","abstract":[{"text":"If the polaron coupling constant α is large enough, bipolarons or multi-polarons will form. When passing through the critical α c from above, does the radius of the system simply get arbitrarily large or does it reach a maximum and then explode? We prove that it is always the latter. We also prove the analogous statement for the Pekar-Tomasevich (PT) approximation to the energy, in which case there is a solution to the PT equation at α c. Similarly, we show that the same phenomenon occurs for atoms, e. g., helium, at the critical value of the nuclear charge. Our proofs rely only on energy estimates, not on a detailed analysis of the Schrödinger equation, and are very general. They use the fact that the Coulomb repulsion decays like 1/r, while 'uncertainty principle' localization energies decay more rapidly, as 1/r 2.","lang":"eng"}],"publist_id":"4527","doi":"10.1007/s00220-012-1436-9","intvolume":"       313","date_created":"2018-12-11T11:57:27Z","page":"405 - 424","year":"2012","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1106.0729"}],"volume":313,"publication":"Communications in Mathematical Physics","publisher":"Springer","title":"Binding of polarons and atoms at threshold","date_published":"2012-07-01T00:00:00Z","quality_controlled":0},{"publication_status":"published","date_updated":"2021-01-12T06:57:16Z","extern":1,"author":[{"last_name":"Lieb","full_name":"Lieb, Élliott H","first_name":"Élliott"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer"}],"oa":1,"citation":{"ama":"Lieb É, Seiringer R. Further implications of the Bessis-Moussa-Villani conjecture. <i>Journal of Statistical Physics</i>. 2012;149(1):86-91. doi:<a href=\"https://doi.org/10.1007/s10955-012-0585-8\">10.1007/s10955-012-0585-8</a>","short":"É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.","chicago":"Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” <i>Journal of Statistical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s10955-012-0585-8\">https://doi.org/10.1007/s10955-012-0585-8</a>.","ieee":"É. Lieb and R. Seiringer, “Further implications of the Bessis-Moussa-Villani conjecture,” <i>Journal of Statistical Physics</i>, vol. 149, no. 1. Springer, pp. 86–91, 2012.","ista":"Lieb É, Seiringer R. 2012. Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 149(1), 86–91.","apa":"Lieb, É., &#38; Seiringer, R. (2012). Further implications of the Bessis-Moussa-Villani conjecture. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-012-0585-8\">https://doi.org/10.1007/s10955-012-0585-8</a>","mla":"Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” <i>Journal of Statistical Physics</i>, vol. 149, no. 1, Springer, 2012, pp. 86–91, doi:<a href=\"https://doi.org/10.1007/s10955-012-0585-8\">10.1007/s10955-012-0585-8</a>."},"day":"01","month":"10","type":"journal_article","issue":"1","doi":"10.1007/s10955-012-0585-8","abstract":[{"lang":"eng","text":"We find further implications of the BMV conjecture, which states that for hermitian matrices B≥0 and A, the function λ {mapping} Tr exp(A - λB) is the Laplace transform of a positive measure supported on [0,∞]."}],"publist_id":"4525","_id":"2401","status":"public","main_file_link":[{"url":"http://arxiv.org/abs/1206.0460","open_access":"1"}],"year":"2012","volume":149,"publication":"Journal of Statistical Physics","date_created":"2018-12-11T11:57:27Z","intvolume":"       149","page":"86 - 91","title":"Further implications of the Bessis-Moussa-Villani conjecture","date_published":"2012-10-01T00:00:00Z","quality_controlled":0,"publisher":"Springer"},{"issue":"9","doi":"10.1063/1.3697416","publist_id":"4524","abstract":[{"lang":"eng","text":"We consider a model of quantum-mechanical particles interacting via point interactions of infinite scattering length. In the case of fermions we prove a Lieb-Thirring inequality for the energy, i.e., we show that the energy is bounded from below by a constant times the integral of the particle density to the power."}],"_id":"2402","status":"public","publication_status":"published","date_updated":"2021-01-12T06:57:16Z","author":[{"first_name":"Rupert","full_name":"Frank, Rupert L","last_name":"Frank"},{"first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"extern":1,"oa":1,"day":"28","citation":{"ista":"Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 53(9).","apa":"Frank, R., &#38; Seiringer, R. (2012). Lieb-Thirring inequality for a model of particles with point interactions. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.3697416\">https://doi.org/10.1063/1.3697416</a>","mla":"Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” <i>Journal of Mathematical Physics</i>, vol. 53, no. 9, American Institute of Physics, 2012, doi:<a href=\"https://doi.org/10.1063/1.3697416\">10.1063/1.3697416</a>.","ama":"Frank R, Seiringer R. Lieb-Thirring inequality for a model of particles with point interactions. <i>Journal of Mathematical Physics</i>. 2012;53(9). doi:<a href=\"https://doi.org/10.1063/1.3697416\">10.1063/1.3697416</a>","short":"R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).","chicago":"Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2012. <a href=\"https://doi.org/10.1063/1.3697416\">https://doi.org/10.1063/1.3697416</a>.","ieee":"R. Frank and R. Seiringer, “Lieb-Thirring inequality for a model of particles with point interactions,” <i>Journal of Mathematical Physics</i>, vol. 53, no. 9. American Institute of Physics, 2012."},"month":"09","type":"journal_article","date_published":"2012-09-28T00:00:00Z","title":"Lieb-Thirring inequality for a model of particles with point interactions","quality_controlled":0,"publisher":"American Institute of Physics","year":"2012","main_file_link":[{"url":"http://arxiv.org/abs/1112.5617","open_access":"1"}],"volume":53,"publication":"Journal of Mathematical Physics","date_created":"2018-12-11T11:57:27Z","intvolume":"        53"},{"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1207.7054"}],"year":"2012","volume":2012,"publication":"Journal of Statistical Mechanics Theory and Experiment","intvolume":"      2012","date_created":"2018-12-11T11:57:28Z","date_published":"2012-11-01T00:00:00Z","title":"Disordered Bose-Einstein condensates with interaction in one dimension","quality_controlled":0,"publisher":"IOP Publishing Ltd.","date_updated":"2021-01-12T06:57:16Z","publication_status":"published","oa":1,"extern":1,"author":[{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Robert Seiringer"},{"full_name":"Yngvason, Jakob","first_name":"Jakob","last_name":"Yngvason"},{"last_name":"Zagrebnov","full_name":"Zagrebnov, Valentin A","first_name":"Valentin"}],"day":"01","citation":{"ieee":"R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates with interaction in one dimension,” <i>Journal of Statistical Mechanics Theory and Experiment</i>, vol. 2012, no. 11. IOP Publishing Ltd., 2012.","chicago":"Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” <i>Journal of Statistical Mechanics Theory and Experiment</i>. IOP Publishing Ltd., 2012. <a href=\"https://doi.org/10.1088/1742-5468/2012/11/P11007\">https://doi.org/10.1088/1742-5468/2012/11/P11007</a>.","short":"R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).","ama":"Seiringer R, Yngvason J, Zagrebnov V. Disordered Bose-Einstein condensates with interaction in one dimension. <i>Journal of Statistical Mechanics Theory and Experiment</i>. 2012;2012(11). doi:<a href=\"https://doi.org/10.1088/1742-5468/2012/11/P11007\">10.1088/1742-5468/2012/11/P11007</a>","mla":"Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” <i>Journal of Statistical Mechanics Theory and Experiment</i>, vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:<a href=\"https://doi.org/10.1088/1742-5468/2012/11/P11007\">10.1088/1742-5468/2012/11/P11007</a>.","apa":"Seiringer, R., Yngvason, J., &#38; Zagrebnov, V. (2012). Disordered Bose-Einstein condensates with interaction in one dimension. <i>Journal of Statistical Mechanics Theory and Experiment</i>. IOP Publishing Ltd. <a href=\"https://doi.org/10.1088/1742-5468/2012/11/P11007\">https://doi.org/10.1088/1742-5468/2012/11/P11007</a>","ista":"Seiringer R, Yngvason J, Zagrebnov V. 2012. Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. 2012(11)."},"month":"11","type":"journal_article","issue":"11","publist_id":"4523","abstract":[{"lang":"eng","text":"We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. We prove that Bose-Einstein condensation survives even a strong random potential with a high density of scatterers. The character of the wavefunction of the condensate, however, depends in an essential way on the interplay between randomness and the strength of the two-body interaction. For low density of scatterers and strong interactions the wavefunction extends over the whole interval. A high density of scatterers and weak interactions, on the other hand, lead to localization of the wavefunction in a fragmented subset of the interval."}],"doi":"10.1088/1742-5468/2012/11/P11007","_id":"2403","status":"public"}]