[{"quality_controlled":"1","ddc":["530"],"_id":"154","date_updated":"2023-09-19T09:31:15Z","type":"journal_article","article_processing_charge":"No","doi":"10.1007/s11040-018-9275-3","publisher":"Springer","ec_funded":1,"acknowledgement":"Open access funding provided by Austrian Science Fund (FWF).","date_published":"2018-09-01T00:00:00Z","publication":"Mathematical Physics Analysis and Geometry","status":"public","project":[{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"},{"_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","name":"FWF Open Access Fund","call_identifier":"FWF"}],"publist_id":"7767","isi":1,"year":"2018","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"52"}]},"external_id":{"isi":["000439639700001"]},"file_date_updated":"2020-07-14T12:45:01Z","publication_identifier":{"issn":["13850172"],"eissn":["15729656"]},"publication_status":"published","has_accepted_license":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"license":"https://creativecommons.org/licenses/by/4.0/","intvolume":"        21","abstract":[{"text":"We give a lower bound on the ground state energy of a system of two fermions of one species interacting with two fermions of another species via point interactions. We show that there is a critical mass ratio m2 ≈ 0.58 such that the system is stable, i.e., the energy is bounded from below, for m∈[m2,m2−1]. So far it was not known whether this 2 + 2 system exhibits a stable region at all or whether the formation of four-body bound states causes an unbounded spectrum for all mass ratios, similar to the Thomas effect. Our result gives further evidence for the stability of the more general N + M system.","lang":"eng"}],"volume":21,"date_created":"2018-12-11T11:44:55Z","article_type":"original","scopus_import":"1","day":"01","author":[{"full_name":"Moser, Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser","first_name":"Thomas"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"title":"Stability of the 2+2 fermionic system with point interactions","oa_version":"Published Version","citation":{"ama":"Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. <i>Mathematical Physics Analysis and Geometry</i>. 2018;21(3). doi:<a href=\"https://doi.org/10.1007/s11040-018-9275-3\">10.1007/s11040-018-9275-3</a>","short":"T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).","ieee":"T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” <i>Mathematical Physics Analysis and Geometry</i>, vol. 21, no. 3. Springer, 2018.","chicago":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” <i>Mathematical Physics Analysis and Geometry</i>. Springer, 2018. <a href=\"https://doi.org/10.1007/s11040-018-9275-3\">https://doi.org/10.1007/s11040-018-9275-3</a>.","ista":"Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.","mla":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” <i>Mathematical Physics Analysis and Geometry</i>, vol. 21, no. 3, 19, Springer, 2018, doi:<a href=\"https://doi.org/10.1007/s11040-018-9275-3\">10.1007/s11040-018-9275-3</a>.","apa":"Moser, T., &#38; Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. <i>Mathematical Physics Analysis and Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s11040-018-9275-3\">https://doi.org/10.1007/s11040-018-9275-3</a>"},"issue":"3","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa":1,"language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"article_number":"19","file":[{"checksum":"411c4db5700d7297c9cd8ebc5dd29091","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"2018_MathPhysics_Moser.pdf","file_id":"5729","creator":"dernst","date_updated":"2020-07-14T12:45:01Z","date_created":"2018-12-17T16:49:02Z","file_size":496973}],"month":"09"},{"date_published":"2017-06-01T00:00:00Z","status":"public","publication":"Mathematical Physics, Analysis and Geometry","project":[{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"publist_id":"6300","external_id":{"isi":["000401270000004"]},"isi":1,"year":"2017","quality_controlled":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1603.07368"}],"type":"journal_article","_id":"1079","date_updated":"2023-09-20T11:53:35Z","publisher":"Springer","article_processing_charge":"No","doi":"10.1007/s11040-017-9238-0","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ieee":"P. Nam and H. Van Den Bosch, “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 20, no. 2. Springer, 2017.","short":"P. Nam, H. Van Den Bosch, Mathematical Physics, Analysis and Geometry 20 (2017).","ama":"Nam P, Van Den Bosch H. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. <i>Mathematical Physics, Analysis and Geometry</i>. 2017;20(2). doi:<a href=\"https://doi.org/10.1007/s11040-017-9238-0\">10.1007/s11040-017-9238-0</a>","apa":"Nam, P., &#38; Van Den Bosch, H. (2017). Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. <i>Mathematical Physics, Analysis and Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s11040-017-9238-0\">https://doi.org/10.1007/s11040-017-9238-0</a>","mla":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 20, no. 2, 6, Springer, 2017, doi:<a href=\"https://doi.org/10.1007/s11040-017-9238-0\">10.1007/s11040-017-9238-0</a>.","ista":"Nam P, Van Den Bosch H. 2017. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. 20(2), 6.","chicago":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s11040-017-9238-0\">https://doi.org/10.1007/s11040-017-9238-0</a>."},"issue":"2","language":[{"iso":"eng"}],"oa":1,"article_number":"6","department":[{"_id":"RoSe"}],"month":"06","publication_status":"published","publication_identifier":{"issn":["13850172"]},"abstract":[{"text":"We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecules. We prove the nonexistence of minimizers for the energy functional when the number of electrons is large and the total nuclear charge is small. This nonexistence result also applies to external potentials decaying faster than the Coulomb potential. In the case of arbitrary nuclear charges, we obtain the nonexistence of stable minimizers and radial minimizers.","lang":"eng"}],"intvolume":"        20","date_created":"2018-12-11T11:50:02Z","volume":20,"title":"Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges","oa_version":"Submitted Version","scopus_import":"1","day":"01","author":[{"first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","full_name":"Nam, Phan","last_name":"Nam"},{"last_name":"Van Den Bosch","full_name":"Van Den Bosch, Hanne","first_name":"Hanne"}]}]