[{"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0809.3331"}],"publist_id":"4875","quality_controlled":0,"citation":{"mla":"Lemeshko, Mikhail, and Břetislav Friedrich. “Collisions of Paramagnetic Molecules in Magnetic Fields: An Analytic Model Based on Fraunhofer Diffraction of Matter Waves.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 79, no. 1, American Physical Society, 2009, doi:<a href=\"https://doi.org/10.1103/PhysRevA.79.012718\">10.1103/PhysRevA.79.012718</a>.","ista":"Lemeshko M, Friedrich B. 2009. Collisions of paramagnetic molecules in magnetic fields: An analytic model based on Fraunhofer diffraction of matter waves. Physical Review A - Atomic, Molecular, and Optical Physics. 79(1).","apa":"Lemeshko, M., &#38; Friedrich, B. (2009). Collisions of paramagnetic molecules in magnetic fields: An analytic model based on Fraunhofer diffraction of matter waves. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.79.012718\">https://doi.org/10.1103/PhysRevA.79.012718</a>","chicago":"Lemeshko, Mikhail, and Břetislav Friedrich. “Collisions of Paramagnetic Molecules in Magnetic Fields: An Analytic Model Based on Fraunhofer Diffraction of Matter Waves.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2009. <a href=\"https://doi.org/10.1103/PhysRevA.79.012718\">https://doi.org/10.1103/PhysRevA.79.012718</a>.","ieee":"M. Lemeshko and B. Friedrich, “Collisions of paramagnetic molecules in magnetic fields: An analytic model based on Fraunhofer diffraction of matter waves,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 79, no. 1. American Physical Society, 2009.","ama":"Lemeshko M, Friedrich B. Collisions of paramagnetic molecules in magnetic fields: An analytic model based on Fraunhofer diffraction of matter waves. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2009;79(1). doi:<a href=\"https://doi.org/10.1103/PhysRevA.79.012718\">10.1103/PhysRevA.79.012718</a>","short":"M. Lemeshko, B. Friedrich, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009)."},"intvolume":"        79","volume":79,"publication_status":"published","doi":"10.1103/PhysRevA.79.012718","date_created":"2018-12-11T11:55:59Z","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","type":"journal_article","date_published":"2009-01-30T00:00:00Z","status":"public","publisher":"American Physical Society","title":"Collisions of paramagnetic molecules in magnetic fields: An analytic model based on Fraunhofer diffraction of matter waves","oa":1,"month":"01","date_updated":"2021-01-12T06:55:36Z","issue":"1","abstract":[{"lang":"eng","text":"We investigate the effects of a magnetic field on the dynamics of rotationally inelastic collisions of open-shell molecules (Σ2, Σ3, and Π2) with closed-shell atoms. Our treatment makes use of the Fraunhofer model of matter wave scattering and its recent extension to collisions in electric [M. Lemeshko and B. Friedrich, J. Chem. Phys. 129, 024301 (2008)] and radiative fields [M. Lemeshko and B. Friedrich, Int. J. Mass. Spec. 280, 19 (2009)]. A magnetic field aligns the molecule in the space-fixed frame and thereby alters the effective shape of the diffraction target. This significantly affects the differential and integral scattering cross sections. We exemplify our treatment by evaluating the magnetic-field-dependent scattering characteristics of the He-CaH (XΣ+2), He-O2 (XΣ–3), and He-OH (XΠΩ2) systems at thermal collision energies. Since the cross sections can be obtained for different orientations of the magnetic field with respect to the relative velocity vector, the model also offers predictions about the frontal-versus-lateral steric asymmetry of the collisions. The steric asymmetry is found to be almost negligible for the He-OH system, weak for the He-CaH collisions, and strong for the He-O2. While odd ΔM transitions dominate the He-OH [J=3/2,f→J′,e/f] integral cross sections in a magnetic field parallel to the relative velocity vector, even ΔM transitions prevail in the case of the He-CaH (X2Σ+) and He-O2 (XΣ−3) collision systems. For the latter system, the magnetic field opens inelastic channels that are closed in the absence of the field. These involve the transitions N=1,J=0→N′, J′ with J′=N′."}],"day":"30","extern":1,"year":"2009","author":[{"orcid":"0000-0002-6990-7802","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","full_name":"Mikhail Lemeshko"},{"full_name":"Friedrich, Břetislav","first_name":"Břetislav","last_name":"Friedrich"}],"_id":"2149"},{"publist_id":"4874","main_file_link":[{"url":"http://arxiv.org/abs/0804.4845","open_access":"1"}],"quality_controlled":0,"volume":280,"citation":{"apa":"Lemeshko, M., &#38; Friedrich, B. (2009). The effect of a nonresonant radiative field on low-energy rotationally inelastic Na+ + N2 collisions. <i>International Journal of Mass Spectrometry</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.ijms.2008.06.010 \">https://doi.org/10.1016/j.ijms.2008.06.010 </a>","ista":"Lemeshko M, Friedrich B. 2009. The effect of a nonresonant radiative field on low-energy rotationally inelastic Na+ + N2 collisions. International Journal of Mass Spectrometry. 280(1–3), 19–25.","mla":"Lemeshko, Mikhail, and Břetislav Friedrich. “The Effect of a Nonresonant Radiative Field on Low-Energy Rotationally Inelastic Na+ + N2 Collisions.” <i>International Journal of Mass Spectrometry</i>, vol. 280, no. 1–3, Elsevier, 2009, pp. 19–25, doi:<a href=\"https://doi.org/10.1016/j.ijms.2008.06.010 \">10.1016/j.ijms.2008.06.010 </a>.","chicago":"Lemeshko, Mikhail, and Břetislav Friedrich. “The Effect of a Nonresonant Radiative Field on Low-Energy Rotationally Inelastic Na+ + N2 Collisions.” <i>International Journal of Mass Spectrometry</i>. Elsevier, 2009. <a href=\"https://doi.org/10.1016/j.ijms.2008.06.010 \">https://doi.org/10.1016/j.ijms.2008.06.010 </a>.","ieee":"M. Lemeshko and B. Friedrich, “The effect of a nonresonant radiative field on low-energy rotationally inelastic Na+ + N2 collisions,” <i>International Journal of Mass Spectrometry</i>, vol. 280, no. 1–3. Elsevier, pp. 19–25, 2009.","ama":"Lemeshko M, Friedrich B. The effect of a nonresonant radiative field on low-energy rotationally inelastic Na+ + N2 collisions. <i>International Journal of Mass Spectrometry</i>. 2009;280(1-3):19-25. doi:<a href=\"https://doi.org/10.1016/j.ijms.2008.06.010 \">10.1016/j.ijms.2008.06.010 </a>","short":"M. Lemeshko, B. Friedrich, International Journal of Mass Spectrometry 280 (2009) 19–25."},"intvolume":"       280","publication":"International Journal of Mass Spectrometry","date_created":"2018-12-11T11:56:00Z","page":"19 - 25","doi":"10.1016/j.ijms.2008.06.010 ","publication_status":"published","date_published":"2009-02-01T00:00:00Z","type":"journal_article","oa":1,"title":"The effect of a nonresonant radiative field on low-energy rotationally inelastic Na+ + N2 collisions","publisher":"Elsevier","status":"public","month":"02","year":"2009","extern":1,"day":"01","issue":"1-3","abstract":[{"lang":"eng","text":"We examine the effects of a linearly polarized nonresonant radiative field on the dynamics of rotationally inelastic Na+ + N2 collisions at eV collision energies. Our treatment is based on the Fraunhofer model of matter wave scattering and its recent extension to collisions in electric fields [M. Lemeshko, B. Friedrich, J. Chem. Phys. 129 (2008) 024301]. The nonresonant radiative field changes the effective shape of the target molecule by aligning it in the space-fixed frame. This markedly alters the differential and integral scattering cross-sections. As the cross-sections can be evaluated for a polarization of the radiative field collinear or perpendicular to the relative velocity vector, the model also offers predictions about steric asymmetry of the collisions."}],"date_updated":"2021-01-12T06:55:37Z","_id":"2150","author":[{"first_name":"Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","full_name":"Mikhail Lemeshko"},{"last_name":"Friedrich","first_name":"Břetislav","full_name":"Friedrich, Břetislav"}]},{"author":[{"first_name":"Mikhail","orcid":"0000-0002-6990-7802","last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","full_name":"Mikhail Lemeshko"},{"last_name":"Friedrich","first_name":"Břetislav","full_name":"Friedrich, Břetislav"}],"_id":"2191","date_updated":"2021-01-12T06:55:53Z","issue":"5","abstract":[{"lang":"eng","text":"By making use of the quantization rule of Raab and Friedrich [Phys. Rev. A 78, 022707 (2008)], we derive simple and accurate formulae for the number of rotational states supported by a weakly bound vibrational level of a diatomic molecule and the rotational constants of any such levels up to the threshold, and provide a criterion for determining whether a given weakly bound vibrational level is rotationless. The results depend solely on the long-range part of the molecular potential and are applicable to halo molecules. "}],"day":"26","year":"2009","extern":1,"month":"05","publisher":"American Physical Society","status":"public","title":"Rotational and rotationless states of weakly bound molecules","oa":1,"type":"journal_article","date_published":"2009-05-26T00:00:00Z","publication_status":"published","doi":"10.1103/PhysRevA.79.050501","date_created":"2018-12-11T11:56:14Z","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","intvolume":"        79","volume":79,"quality_controlled":0,"citation":{"chicago":"Lemeshko, Mikhail, and Břetislav Friedrich. “Rotational and Rotationless States of Weakly Bound Molecules.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2009. <a href=\"https://doi.org/10.1103/PhysRevA.79.050501\">https://doi.org/10.1103/PhysRevA.79.050501</a>.","mla":"Lemeshko, Mikhail, and Břetislav Friedrich. “Rotational and Rotationless States of Weakly Bound Molecules.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 79, no. 5, American Physical Society, 2009, doi:<a href=\"https://doi.org/10.1103/PhysRevA.79.050501\">10.1103/PhysRevA.79.050501</a>.","apa":"Lemeshko, M., &#38; Friedrich, B. (2009). Rotational and rotationless states of weakly bound molecules. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.79.050501\">https://doi.org/10.1103/PhysRevA.79.050501</a>","ista":"Lemeshko M, Friedrich B. 2009. Rotational and rotationless states of weakly bound molecules. Physical Review A - Atomic, Molecular, and Optical Physics. 79(5).","ama":"Lemeshko M, Friedrich B. Rotational and rotationless states of weakly bound molecules. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2009;79(5). doi:<a href=\"https://doi.org/10.1103/PhysRevA.79.050501\">10.1103/PhysRevA.79.050501</a>","ieee":"M. Lemeshko and B. Friedrich, “Rotational and rotationless states of weakly bound molecules,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 79, no. 5. American Physical Society, 2009.","short":"M. Lemeshko, B. Friedrich, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009)."},"main_file_link":[{"url":"http://arxiv.org/abs/0904.0567","open_access":"1"}],"publist_id":"4783"},{"publication":"Journal of Physical Chemistry A","date_created":"2018-12-11T11:56:14Z","page":"15055 - 15063","doi":"10.1021/jp9051598","publication_status":"published","date_published":"2009-12-31T00:00:00Z","type":"journal_article","main_file_link":[{"url":"http://arxiv.org/abs/0906.0443","open_access":"1"}],"publist_id":"4781","intvolume":"       113","quality_controlled":0,"citation":{"ama":"Lemeshko M, Friedrich B. Model analysis of rotationally inelastic Ar + H2O scattering in an electric field. <i>Journal of Physical Chemistry A</i>. 2009;113(52):15055-15063. doi:<a href=\"https://doi.org/10.1021/jp9051598\">10.1021/jp9051598</a>","ieee":"M. Lemeshko and B. Friedrich, “Model analysis of rotationally inelastic Ar + H2O scattering in an electric field,” <i>Journal of Physical Chemistry A</i>, vol. 113, no. 52. American Chemical Society, pp. 15055–15063, 2009.","short":"M. Lemeshko, B. Friedrich, Journal of Physical Chemistry A 113 (2009) 15055–15063.","mla":"Lemeshko, Mikhail, and Břetislav Friedrich. “Model Analysis of Rotationally Inelastic Ar + H2O Scattering in an Electric Field.” <i>Journal of Physical Chemistry A</i>, vol. 113, no. 52, American Chemical Society, 2009, pp. 15055–63, doi:<a href=\"https://doi.org/10.1021/jp9051598\">10.1021/jp9051598</a>.","ista":"Lemeshko M, Friedrich B. 2009. Model analysis of rotationally inelastic Ar + H2O scattering in an electric field. Journal of Physical Chemistry A. 113(52), 15055–15063.","apa":"Lemeshko, M., &#38; Friedrich, B. (2009). Model analysis of rotationally inelastic Ar + H2O scattering in an electric field. <i>Journal of Physical Chemistry A</i>. American Chemical Society. <a href=\"https://doi.org/10.1021/jp9051598\">https://doi.org/10.1021/jp9051598</a>","chicago":"Lemeshko, Mikhail, and Břetislav Friedrich. “Model Analysis of Rotationally Inelastic Ar + H2O Scattering in an Electric Field.” <i>Journal of Physical Chemistry A</i>. American Chemical Society, 2009. <a href=\"https://doi.org/10.1021/jp9051598\">https://doi.org/10.1021/jp9051598</a>."},"volume":113,"year":"2009","extern":1,"day":"31","abstract":[{"lang":"eng","text":"We develop an analytic model of thermal state-to-state rotationally inelastic collisions of asymmetric-top molecules with closed-shell atoms in electric fields and apply it to the Ar-H2O collision system. The predicted cross sections as well as the steric asymmetry of the collisions show at fields up to 150 kV/cm characteristic field-dependent features which can be experimentally tested. Particularly suitable candidates for such tests are the 000 → 220 and 101→ 221 channels, arising from the relaxation of the field-free selection rules due to the hybridization of J states by the field. Averaging over the M' product channels is found to largely obliterate the orientation effects brought about by the field."}],"issue":"52","date_updated":"2021-01-12T06:55:53Z","_id":"2192","author":[{"full_name":"Mikhail Lemeshko","orcid":"0000-0002-6990-7802","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko"},{"first_name":"Břetislav","last_name":"Friedrich","full_name":"Friedrich, Břetislav"}],"oa":1,"title":"Model analysis of rotationally inelastic Ar + H2O scattering in an electric field","publisher":"American Chemical Society","status":"public","month":"12"},{"citation":{"chicago":"Lemeshko, Mikhail, and Břetislav Friedrich. “Probing Weakly Bound Molecules with Nonresonant Light.” <i>Physical Review Letters</i>. American Physical Society, 2009. <a href=\"https://doi.org/10.1103/PhysRevLett.103.053003\">https://doi.org/10.1103/PhysRevLett.103.053003</a>.","apa":"Lemeshko, M., &#38; Friedrich, B. (2009). Probing weakly bound molecules with nonresonant light. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.103.053003\">https://doi.org/10.1103/PhysRevLett.103.053003</a>","ista":"Lemeshko M, Friedrich B. 2009. Probing weakly bound molecules with nonresonant light. Physical Review Letters. 103(5).","mla":"Lemeshko, Mikhail, and Břetislav Friedrich. “Probing Weakly Bound Molecules with Nonresonant Light.” <i>Physical Review Letters</i>, vol. 103, no. 5, American Physical Society, 2009, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.103.053003\">10.1103/PhysRevLett.103.053003</a>.","short":"M. Lemeshko, B. Friedrich, Physical Review Letters 103 (2009).","ieee":"M. Lemeshko and B. Friedrich, “Probing weakly bound molecules with nonresonant light,” <i>Physical Review Letters</i>, vol. 103, no. 5. American Physical Society, 2009.","ama":"Lemeshko M, Friedrich B. Probing weakly bound molecules with nonresonant light. <i>Physical Review Letters</i>. 2009;103(5). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.103.053003\">10.1103/PhysRevLett.103.053003</a>"},"volume":103,"intvolume":"       103","quality_controlled":0,"publist_id":"4782","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0903.0811"}],"date_published":"2009-07-31T00:00:00Z","type":"journal_article","publication":"Physical Review Letters","date_created":"2018-12-11T11:56:15Z","doi":"10.1103/PhysRevLett.103.053003","publication_status":"published","month":"07","oa":1,"title":"Probing weakly bound molecules with nonresonant light","status":"public","publisher":"American Physical Society","_id":"2193","author":[{"full_name":"Mikhail Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","first_name":"Mikhail","orcid":"0000-0002-6990-7802"},{"last_name":"Friedrich","first_name":"Břetislav","full_name":"Friedrich, Břetislav"}],"year":"2009","extern":1,"day":"31","abstract":[{"text":"We show that weakly bound molecules can be probed by &quot;shaking&quot; in a pulsed nonresonant laser field. The field introduces a centrifugal term which expels the highest vibrational level from the potential that binds it. Our numerical simulations applied to the Rb2 and KRb Feshbach molecules indicate that shaking by feasible laser pulses can be used to accurately recover the square of the vibrational wave function and, by inversion, also the long-range part of the molecular potential.","lang":"eng"}],"issue":"5","date_updated":"2021-01-12T06:55:54Z"},{"author":[{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Timothy Browning"},{"first_name":"Ulrich","last_name":"Derenthal","full_name":"Derenthal, Ulrich"}],"_id":"226","date_updated":"2021-01-12T06:56:21Z","issue":"3","abstract":[{"lang":"eng","text":"The Manin conjecture is established for a split singular del Pezzo surface of degree four, with singularity type A4."}],"day":"01","year":"2009","extern":1,"month":"01","publisher":"Association des Annales de l'Institut Fourier","status":"public","title":"Manin's conjecture for a quartic del Pezzo surface with A4 singularity","type":"journal_article","date_published":"2009-01-01T00:00:00Z","publication_status":"published","doi":"10.5802/aif.2462","date_created":"2018-12-11T11:45:18Z","page":"1231 - 1265","publication":"Annales de l'Institut Fourier","intvolume":"        59","volume":59,"quality_controlled":0,"citation":{"chicago":"Browning, Timothy D, and Ulrich Derenthal. “Manin’s Conjecture for a Quartic Del Pezzo Surface with A4 Singularity.” <i>Annales de l’Institut Fourier</i>. Association des Annales de l’Institut Fourier, 2009. <a href=\"https://doi.org/10.5802/aif.2462\">https://doi.org/10.5802/aif.2462</a>.","apa":"Browning, T. D., &#38; Derenthal, U. (2009). Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. <i>Annales de l’Institut Fourier</i>. Association des Annales de l’Institut Fourier. <a href=\"https://doi.org/10.5802/aif.2462\">https://doi.org/10.5802/aif.2462</a>","mla":"Browning, Timothy D., and Ulrich Derenthal. “Manin’s Conjecture for a Quartic Del Pezzo Surface with A4 Singularity.” <i>Annales de l’Institut Fourier</i>, vol. 59, no. 3, Association des Annales de l’Institut Fourier, 2009, pp. 1231–65, doi:<a href=\"https://doi.org/10.5802/aif.2462\">10.5802/aif.2462</a>.","ista":"Browning TD, Derenthal U. 2009. Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. Annales de l’Institut Fourier. 59(3), 1231–1265.","short":"T.D. Browning, U. Derenthal, Annales de l’Institut Fourier 59 (2009) 1231–1265.","ama":"Browning TD, Derenthal U. Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. <i>Annales de l’Institut Fourier</i>. 2009;59(3):1231-1265. doi:<a href=\"https://doi.org/10.5802/aif.2462\">10.5802/aif.2462</a>","ieee":"T. D. Browning and U. Derenthal, “Manin’s conjecture for a quartic del Pezzo surface with A4 singularity,” <i>Annales de l’Institut Fourier</i>, vol. 59, no. 3. Association des Annales de l’Institut Fourier, pp. 1231–1265, 2009."},"publist_id":"7686"},{"publisher":"Birkhäuser Basel","status":"public","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","title":"Quantitative Arithmetic of Projective Varieties","publication_identifier":{"issn":["0743-1643"],"isbn":["9-783-0346-0128-3"],"eissn":["2296-505X"],"eisbn":["9-783-0346-0129-0"]},"month":"01","alternative_title":["Progress in Mathematics"],"date_updated":"2021-12-21T10:56:12Z","abstract":[{"lang":"eng","text":"Winner of the Ferran Sunyer i Balaguer Prize 2009. First attempt to systematically survey the range of available tools from analytic number theory that can be applied to study the density of rational points on projective varieties. Designed to rapidly guide the reader to the many areas of ongoing research in the domain. Provides an extensive bibliography."}],"day":"01","extern":"1","year":"2009","author":[{"full_name":"Browning, Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","orcid":"0000-0002-8314-0177"}],"_id":"227","scopus_import":"1","publist_id":"7682","article_processing_charge":"No","volume":277,"citation":{"mla":"Browning, Timothy D. <i>Quantitative Arithmetic of Projective Varieties</i>. Vol. 277, Birkhäuser Basel, 2009, doi:<a href=\"https://doi.org/10.1007/978-3-0346-0129-0\">10.1007/978-3-0346-0129-0</a>.","ista":"Browning TD. 2009. Quantitative Arithmetic of Projective Varieties, Birkhäuser Basel, XIII, 160p.","apa":"Browning, T. D. (2009). <i>Quantitative Arithmetic of Projective Varieties</i> (Vol. 277). Birkhäuser Basel. <a href=\"https://doi.org/10.1007/978-3-0346-0129-0\">https://doi.org/10.1007/978-3-0346-0129-0</a>","chicago":"Browning, Timothy D. <i>Quantitative Arithmetic of Projective Varieties</i>. Vol. 277. Birkhäuser Basel, 2009. <a href=\"https://doi.org/10.1007/978-3-0346-0129-0\">https://doi.org/10.1007/978-3-0346-0129-0</a>.","short":"T.D. Browning, Quantitative Arithmetic of Projective Varieties, Birkhäuser Basel, 2009.","ieee":"T. D. Browning, <i>Quantitative Arithmetic of Projective Varieties</i>, vol. 277. Birkhäuser Basel, 2009.","ama":"Browning TD. <i>Quantitative Arithmetic of Projective Varieties</i>. Vol 277. Birkhäuser Basel; 2009. doi:<a href=\"https://doi.org/10.1007/978-3-0346-0129-0\">10.1007/978-3-0346-0129-0</a>"},"intvolume":"       277","quality_controlled":"1","publication_status":"published","doi":"10.1007/978-3-0346-0129-0","page":"XIII, 160","date_created":"2018-12-11T11:45:19Z","oa_version":"None","type":"book","language":[{"iso":"eng"}],"date_published":"2009-01-01T00:00:00Z"},{"quality_controlled":0,"citation":{"short":"T.D. Browning, R. Heath Brown, Journal Fur Die Reine Und Angewandte Mathematik (2009) 37–88.","ieee":"T. D. Browning and R. Heath Brown, “Rational points on quartic hypersurfaces,” <i>Journal fur die Reine und Angewandte Mathematik</i>, no. 629. Walter de Gruyter, pp. 37–88, 2009.","ama":"Browning TD, Heath Brown R. Rational points on quartic hypersurfaces. <i>Journal fur die Reine und Angewandte Mathematik</i>. 2009;(629):37-88. doi:<a href=\"https://doi.org/10.1515/CRELLE.2009.026\">10.1515/CRELLE.2009.026</a>","apa":"Browning, T. D., &#38; Heath Brown, R. (2009). Rational points on quartic hypersurfaces. <i>Journal Fur Die Reine Und Angewandte Mathematik</i>. Walter de Gruyter. <a href=\"https://doi.org/10.1515/CRELLE.2009.026\">https://doi.org/10.1515/CRELLE.2009.026</a>","ista":"Browning TD, Heath Brown R. 2009. Rational points on quartic hypersurfaces. Journal fur die Reine und Angewandte Mathematik. (629), 37–88.","mla":"Browning, Timothy D., and Roger Heath Brown. “Rational Points on Quartic Hypersurfaces.” <i>Journal Fur Die Reine Und Angewandte Mathematik</i>, no. 629, Walter de Gruyter, 2009, pp. 37–88, doi:<a href=\"https://doi.org/10.1515/CRELLE.2009.026\">10.1515/CRELLE.2009.026</a>.","chicago":"Browning, Timothy D, and Roger Heath Brown. “Rational Points on Quartic Hypersurfaces.” <i>Journal Fur Die Reine Und Angewandte Mathematik</i>. Walter de Gruyter, 2009. <a href=\"https://doi.org/10.1515/CRELLE.2009.026\">https://doi.org/10.1515/CRELLE.2009.026</a>."},"publist_id":"7676","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/math/0701348"}],"date_published":"2009-04-01T00:00:00Z","type":"journal_article","page":"37 - 88","date_created":"2018-12-11T11:45:19Z","publication":"Journal fur die Reine und Angewandte Mathematik","publication_status":"published","doi":"10.1515/CRELLE.2009.026","month":"04","title":"Rational points on quartic hypersurfaces","oa":1,"publisher":"Walter de Gruyter","status":"public","_id":"228","author":[{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","orcid":"0000-0002-8314-0177","full_name":"Timothy Browning"},{"full_name":"Heath-Brown, Roger","first_name":"Roger","last_name":"Heath Brown"}],"day":"01","year":"2009","extern":1,"date_updated":"2021-01-12T06:56:29Z","abstract":[{"lang":"eng","text":"Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined over . We show that X() is non-empty provided that X() is non-empty and X has p-adic points for every prime p."}],"issue":"629","acknowledgement":"EP/F060661/1\tEngineering and Physical Sciences Research Council"},{"day":"18","extern":1,"year":"2009","date_updated":"2021-01-12T06:56:33Z","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","abstract":[{"lang":"eng","text":"An upper bound of the expected order of magnitude is established for the number of ℚ-rational points of bounded height on Châtelet surfaces defined over ℚ."}],"issue":"1","_id":"229","author":[{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","full_name":"Timothy Browning"}],"title":"Linear growth for Châtelet surfaces","oa":1,"publisher":"Springer Nature","status":"public","month":"06","page":"41 - 50","date_created":"2018-12-11T11:45:19Z","publication":"Mathematische Annalen","publication_status":"published","doi":"10.1007/s00208-009-0383-z","date_published":"2009-06-18T00:00:00Z","type":"journal_article","publist_id":"7675","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/0901.1963"}],"intvolume":"       346","quality_controlled":0,"citation":{"short":"T.D. Browning, Mathematische Annalen 346 (2009) 41–50.","ama":"Browning TD. Linear growth for Châtelet surfaces. <i>Mathematische Annalen</i>. 2009;346(1):41-50. doi:<a href=\"https://doi.org/10.1007/s00208-009-0383-z\">10.1007/s00208-009-0383-z</a>","ieee":"T. D. Browning, “Linear growth for Châtelet surfaces,” <i>Mathematische Annalen</i>, vol. 346, no. 1. Springer Nature, pp. 41–50, 2009.","mla":"Browning, Timothy D. “Linear Growth for Châtelet Surfaces.” <i>Mathematische Annalen</i>, vol. 346, no. 1, Springer Nature, 2009, pp. 41–50, doi:<a href=\"https://doi.org/10.1007/s00208-009-0383-z\">10.1007/s00208-009-0383-z</a>.","apa":"Browning, T. D. (2009). Linear growth for Châtelet surfaces. <i>Mathematische Annalen</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00208-009-0383-z\">https://doi.org/10.1007/s00208-009-0383-z</a>","ista":"Browning TD. 2009. Linear growth for Châtelet surfaces. Mathematische Annalen. 346(1), 41–50.","chicago":"Browning, Timothy D. “Linear Growth for Châtelet Surfaces.” <i>Mathematische Annalen</i>. Springer Nature, 2009. <a href=\"https://doi.org/10.1007/s00208-009-0383-z\">https://doi.org/10.1007/s00208-009-0383-z</a>."},"volume":346},{"_id":"230","author":[{"full_name":"Timothy Browning","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D"},{"last_name":"Derenthal","first_name":"Ulrich","full_name":"Derenthal, Ulrich"}],"day":"09","year":"2009","extern":1,"date_updated":"2021-01-12T06:56:38Z","abstract":[{"lang":"eng","text":"The Manin conjecture is established for a split singular cubic surface in ℙ 3, with singularity type D 5."}],"issue":"14","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","month":"03","title":"Manin's conjecture for a cubic surface with  D 5 singularity","publisher":"Oxford University Press","status":"public","date_published":"2009-03-09T00:00:00Z","type":"journal_article","page":"2620 - 2647","date_created":"2018-12-11T11:45:20Z","publication":"International Mathematics Research Notices","publication_status":"published","doi":"10.1093/imrn/rnp029","volume":2009,"intvolume":"      2009","quality_controlled":0,"citation":{"ieee":"T. D. Browning and U. Derenthal, “Manin’s conjecture for a cubic surface with  D 5 singularity,” <i>International Mathematics Research Notices</i>, vol. 2009, no. 14. Oxford University Press, pp. 2620–2647, 2009.","ama":"Browning TD, Derenthal U. Manin’s conjecture for a cubic surface with  D 5 singularity. <i>International Mathematics Research Notices</i>. 2009;2009(14):2620-2647. doi:<a href=\"https://doi.org/10.1093/imrn/rnp029\">10.1093/imrn/rnp029</a>","short":"T.D. Browning, U. Derenthal, International Mathematics Research Notices 2009 (2009) 2620–2647.","chicago":"Browning, Timothy D, and Ulrich Derenthal. “Manin’s Conjecture for a Cubic Surface with  D 5 Singularity.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2009. <a href=\"https://doi.org/10.1093/imrn/rnp029\">https://doi.org/10.1093/imrn/rnp029</a>.","mla":"Browning, Timothy D., and Ulrich Derenthal. “Manin’s Conjecture for a Cubic Surface with  D 5 Singularity.” <i>International Mathematics Research Notices</i>, vol. 2009, no. 14, Oxford University Press, 2009, pp. 2620–47, doi:<a href=\"https://doi.org/10.1093/imrn/rnp029\">10.1093/imrn/rnp029</a>.","ista":"Browning TD, Derenthal U. 2009. Manin’s conjecture for a cubic surface with  D 5 singularity. International Mathematics Research Notices. 2009(14), 2620–2647.","apa":"Browning, T. D., &#38; Derenthal, U. (2009). Manin’s conjecture for a cubic surface with  D 5 singularity. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnp029\">https://doi.org/10.1093/imrn/rnp029</a>"},"publist_id":"7674"},{"date_updated":"2021-12-21T15:45:31Z","abstract":[{"lang":"eng","text":"Research into the stability of matter has been one of the most successful chapters in mathematical physics, and is a prime example of how modern mathematics can be applied to problems in physics. A unique account of the subject, this book provides a complete, self-contained description of research on the stability of matter problem. It introduces the necessary quantum mechanics to mathematicians, and aspects of functional analysis to physicists. The topics covered include electrodynamics of classical and quantized fields, Lieb-Thirring and other inequalities in spectral theory, inequalities in electrostatics, stability of large Coulomb systems, gravitational stability of stars, basics of equilibrium statistical mechanics, and the existence of the thermodynamic limit. The book is an up-to-date account for researchers, and its pedagogical style makes it suitable for advanced undergraduate and graduate courses in mathematical physics."}],"day":"01","year":"2009","extern":"1","author":[{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"_id":"2326","status":"public","publisher":"Cambridge University Press","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","title":"The Stability of Matter in Quantum Mechanics","publication_identifier":{"isbn":["978-0-521-19118-0 "]},"month":"01","publication_status":"published","page":"310","date_created":"2018-12-11T11:57:00Z","type":"book","oa_version":"None","language":[{"iso":"eng"}],"date_published":"2009-01-01T00:00:00Z","publist_id":"4601","main_file_link":[{"url":"http://www.cambridge.org/9780521191180"}],"article_processing_charge":"No","quality_controlled":"1","citation":{"ieee":"É. Lieb and R. Seiringer, <i>The Stability of Matter in Quantum Mechanics</i>. Cambridge University Press, 2009.","ama":"Lieb É, Seiringer R. <i>The Stability of Matter in Quantum Mechanics</i>. Cambridge University Press; 2009.","short":"É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.","mla":"Lieb, Élliott, and Robert Seiringer. <i>The Stability of Matter in Quantum Mechanics</i>. Cambridge University Press, 2009.","ista":"Lieb É, Seiringer R. 2009. The Stability of Matter in Quantum Mechanics, Cambridge University Press, 310p.","apa":"Lieb, É., &#38; Seiringer, R. (2009). <i>The Stability of Matter in Quantum Mechanics</i>. Cambridge University Press.","chicago":"Lieb, Élliott, and Robert Seiringer. <i>The Stability of Matter in Quantum Mechanics</i>. Cambridge University Press, 2009."}},{"status":"public","publisher":"American Mathematical Society","title":"A linear criterion for solutions of non-linear equations, with application to the BCS gap equation","alternative_title":["Contemporary Mathematics"],"month":"01","date_updated":"2021-01-12T06:56:50Z","extern":1,"year":"2009","day":"01","author":[{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer"}],"_id":"2330","publist_id":"4596","quality_controlled":0,"volume":500,"intvolume":"       500","citation":{"chicago":"Hainzl, Christian, and Robert Seiringer. “A Linear Criterion for Solutions of Non-Linear Equations, with Application to the BCS Gap Equation,” 500:101–4. American Mathematical Society, 2009. <a href=\"https://doi.org/10.1090/conm/500/09823\">https://doi.org/10.1090/conm/500/09823</a>.","mla":"Hainzl, Christian, and Robert Seiringer. <i>A Linear Criterion for Solutions of Non-Linear Equations, with Application to the BCS Gap Equation</i>. Vol. 500, American Mathematical Society, 2009, pp. 101–04, doi:<a href=\"https://doi.org/10.1090/conm/500/09823\">10.1090/conm/500/09823</a>.","apa":"Hainzl, C., &#38; Seiringer, R. (2009). A linear criterion for solutions of non-linear equations, with application to the BCS gap equation (Vol. 500, pp. 101–104). Presented at the Spectral and Scattering Theory for Quantum Magnetic Systems, American Mathematical Society. <a href=\"https://doi.org/10.1090/conm/500/09823\">https://doi.org/10.1090/conm/500/09823</a>","ista":"Hainzl C, Seiringer R. 2009. A linear criterion for solutions of non-linear equations, with application to the BCS gap equation. Spectral and Scattering Theory for Quantum Magnetic Systems, Contemporary Mathematics, vol. 500, 101–104.","short":"C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.","ama":"Hainzl C, Seiringer R. A linear criterion for solutions of non-linear equations, with application to the BCS gap equation. In: Vol 500. American Mathematical Society; 2009:101-104. doi:<a href=\"https://doi.org/10.1090/conm/500/09823\">10.1090/conm/500/09823</a>","ieee":"C. Hainzl and R. Seiringer, “A linear criterion for solutions of non-linear equations, with application to the BCS gap equation,” presented at the Spectral and Scattering Theory for Quantum Magnetic Systems, 2009, vol. 500, pp. 101–104."},"doi":"10.1090/conm/500/09823","conference":{"name":"Spectral and Scattering Theory for Quantum Magnetic Systems"},"publication_status":"published","page":"101 - 104","date_created":"2018-12-11T11:57:02Z","type":"conference","date_published":"2009-01-01T00:00:00Z"},{"oa":1,"title":"The ground state energy of the weakly interacting Bose gas at high density","status":"public","publisher":"Springer","month":"06","extern":1,"year":"2009","day":"01","abstract":[{"text":"We prove the Lee-Huang-Yang formula for the ground state energy of the 3D Bose gas with repulsive interactions described by the exponential function, in a simultaneous limit of weak coupling and high density. In particular, we show that the Bogoliubov approximation is exact in an appropriate parameter regime, as far as the ground state energy is concerned.","lang":"eng"}],"issue":"5-6","date_updated":"2021-01-12T06:57:09Z","_id":"2384","author":[{"full_name":"Giuliani, Alessandro","last_name":"Giuliani","first_name":"Alessandro"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer"}],"main_file_link":[{"url":"http://arxiv.org/abs/0811.1166","open_access":"1"}],"publist_id":"4542","quality_controlled":0,"citation":{"ista":"Giuliani A, Seiringer R. 2009. The ground state energy of the weakly interacting Bose gas at high density. Journal of Statistical Physics. 135(5–6), 915–934.","apa":"Giuliani, A., &#38; Seiringer, R. (2009). The ground state energy of the weakly interacting Bose gas at high density. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-009-9718-0\">https://doi.org/10.1007/s10955-009-9718-0</a>","mla":"Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of the Weakly Interacting Bose Gas at High Density.” <i>Journal of Statistical Physics</i>, vol. 135, no. 5–6, Springer, 2009, pp. 915–34, doi:<a href=\"https://doi.org/10.1007/s10955-009-9718-0\">10.1007/s10955-009-9718-0</a>.","chicago":"Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of the Weakly Interacting Bose Gas at High Density.” <i>Journal of Statistical Physics</i>. Springer, 2009. <a href=\"https://doi.org/10.1007/s10955-009-9718-0\">https://doi.org/10.1007/s10955-009-9718-0</a>.","ama":"Giuliani A, Seiringer R. The ground state energy of the weakly interacting Bose gas at high density. <i>Journal of Statistical Physics</i>. 2009;135(5-6):915-934. doi:<a href=\"https://doi.org/10.1007/s10955-009-9718-0\">10.1007/s10955-009-9718-0</a>","ieee":"A. Giuliani and R. Seiringer, “The ground state energy of the weakly interacting Bose gas at high density,” <i>Journal of Statistical Physics</i>, vol. 135, no. 5–6. Springer, pp. 915–934, 2009.","short":"A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934."},"volume":135,"intvolume":"       135","publication":"Journal of Statistical Physics","date_created":"2018-12-11T11:57:21Z","page":"915 - 934","doi":"10.1007/s10955-009-9718-0","publication_status":"published","date_published":"2009-06-01T00:00:00Z","type":"journal_article"},{"oa":1,"title":"Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime","publisher":"American Physical Society","status":"public","month":"06","year":"2009","extern":1,"day":"24","abstract":[{"text":"We consider an ultracold rotating Bose gas in a harmonic trap close to the critical angular velocity, so that the system can be considered to be confined to the lowest Landau level. With this assumption we prove that the Gross-Pitaevskii energy functional accurately describes the ground-state energy of the corresponding N -body Hamiltonian with contact interaction provided the total angular momentum L is much less than N2. While the Gross-Pitaevskii energy is always an obvious variational upper bound to the ground-state energy, a more refined analysis is needed to establish it as an exact lower bound. We also discuss the question of Bose-Einstein condensation in the parameter range considered. Coherent states together with inequalities in spaces of analytic functions are the main technical tools.","lang":"eng"}],"issue":"6","date_updated":"2021-01-12T06:57:09Z","_id":"2385","author":[{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott H"},{"full_name":"Robert Seiringer","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521"},{"last_name":"Yngvason","first_name":"Jakob","full_name":"Yngvason, Jakob"}],"main_file_link":[{"url":"http://arxiv.org/abs/0904.1750","open_access":"1"}],"publist_id":"4541","intvolume":"        79","volume":79,"quality_controlled":0,"citation":{"chicago":"Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2009. <a href=\"https://doi.org/10.1103/PhysRevA.79.063626\">https://doi.org/10.1103/PhysRevA.79.063626</a>.","mla":"Lieb, Élliott, et al. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 79, no. 6, American Physical Society, 2009, doi:<a href=\"https://doi.org/10.1103/PhysRevA.79.063626\">10.1103/PhysRevA.79.063626</a>.","ista":"Lieb É, Seiringer R, Yngvason J. 2009. Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical Physics. 79(6).","apa":"Lieb, É., Seiringer, R., &#38; Yngvason, J. (2009). Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.79.063626\">https://doi.org/10.1103/PhysRevA.79.063626</a>","short":"É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).","ama":"Lieb É, Seiringer R, Yngvason J. Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2009;79(6). doi:<a href=\"https://doi.org/10.1103/PhysRevA.79.063626\">10.1103/PhysRevA.79.063626</a>","ieee":"É. Lieb, R. Seiringer, and J. Yngvason, “Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 79, no. 6. American Physical Society, 2009."},"publication":"Physical Review A - Atomic, Molecular, and Optical Physics","date_created":"2018-12-11T11:57:22Z","doi":"10.1103/PhysRevA.79.063626","publication_status":"published","date_published":"2009-06-24T00:00:00Z","type":"journal_article"},{"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0904.0050"}],"publist_id":"4540","quality_controlled":0,"intvolume":"        80","citation":{"chicago":"Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society, 2009. <a href=\"https://doi.org/10.1103/PhysRevB.80.014502\">https://doi.org/10.1103/PhysRevB.80.014502</a>.","ista":"Seiringer R, Ueltschi D. 2009. Rigorous upper bound on the critical temperature of dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics. 80(1).","apa":"Seiringer, R., &#38; Ueltschi, D. (2009). Rigorous upper bound on the critical temperature of dilute Bose gases. <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevB.80.014502\">https://doi.org/10.1103/PhysRevB.80.014502</a>","mla":"Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 80, no. 1, American Physical Society, 2009, doi:<a href=\"https://doi.org/10.1103/PhysRevB.80.014502\">10.1103/PhysRevB.80.014502</a>.","ieee":"R. Seiringer and D. Ueltschi, “Rigorous upper bound on the critical temperature of dilute Bose gases,” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 80, no. 1. American Physical Society, 2009.","ama":"Seiringer R, Ueltschi D. Rigorous upper bound on the critical temperature of dilute Bose gases. <i>Physical Review B - Condensed Matter and Materials Physics</i>. 2009;80(1). doi:<a href=\"https://doi.org/10.1103/PhysRevB.80.014502\">10.1103/PhysRevB.80.014502</a>","short":"R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009)."},"volume":80,"publication":"Physical Review B - Condensed Matter and Materials Physics","date_created":"2018-12-11T11:57:22Z","doi":"10.1103/PhysRevB.80.014502","publication_status":"published","date_published":"2009-06-02T00:00:00Z","type":"journal_article","oa":1,"title":"Rigorous upper bound on the critical temperature of dilute Bose gases","status":"public","publisher":"American Physical Society","month":"06","extern":1,"year":"2009","day":"02","issue":"1","abstract":[{"text":"We prove exponential decay of the off-diagonal correlation function in the two-dimensional homogeneous Bose gas when a2 ρ is small and the temperature T satisfies T&gt; 4πρ ln | ln (a2 ρ) |. Here, a is the scattering length of the repulsive interaction potential and ρ is the density. To the leading order in a2 ρ, this bound agrees with the expected critical temperature for superfluidity. In the three-dimensional Bose gas, exponential decay is proved when T- Tc (0) Tc (0) &gt;5 a ρ1/3, where Tc (0) is the critical temperature of the ideal gas. While this condition is not expected to be sharp, it gives a rigorous upper bound on the critical temperature for Bose-Einstein condensation.","lang":"eng"}],"date_updated":"2021-01-12T06:57:10Z","_id":"2386","author":[{"full_name":"Robert Seiringer","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521"},{"last_name":"Ueltschi","first_name":"Daniel","full_name":"Ueltschi, Daniel"}]},{"doi":"10.1007/s10955-009-9833-y","publication_status":"published","publication":"Journal of Statistical Physics","date_created":"2018-12-11T11:57:22Z","page":"1040 - 1062","type":"journal_article","date_published":"2009-01-01T00:00:00Z","publist_id":"4538","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0906.0741"}],"citation":{"ista":"Lewin M, Seiringer R. 2009. Strongly correlated phases in rapidly rotating Bose gases. Journal of Statistical Physics. 137(5), 1040–1062.","apa":"Lewin, M., &#38; Seiringer, R. (2009). Strongly correlated phases in rapidly rotating Bose gases. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-009-9833-y\">https://doi.org/10.1007/s10955-009-9833-y</a>","mla":"Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.” <i>Journal of Statistical Physics</i>, vol. 137, no. 5, Springer, 2009, pp. 1040–62, doi:<a href=\"https://doi.org/10.1007/s10955-009-9833-y\">10.1007/s10955-009-9833-y</a>.","chicago":"Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.” <i>Journal of Statistical Physics</i>. Springer, 2009. <a href=\"https://doi.org/10.1007/s10955-009-9833-y\">https://doi.org/10.1007/s10955-009-9833-y</a>.","ieee":"M. Lewin and R. Seiringer, “Strongly correlated phases in rapidly rotating Bose gases,” <i>Journal of Statistical Physics</i>, vol. 137, no. 5. Springer, pp. 1040–1062, 2009.","ama":"Lewin M, Seiringer R. Strongly correlated phases in rapidly rotating Bose gases. <i>Journal of Statistical Physics</i>. 2009;137(5):1040-1062. doi:<a href=\"https://doi.org/10.1007/s10955-009-9833-y\">10.1007/s10955-009-9833-y</a>","short":"M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062."},"quality_controlled":0,"intvolume":"       137","volume":137,"issue":"5","abstract":[{"lang":"eng","text":"We consider a system of trapped spinless bosons interacting with a repulsive potential and subject to rotation. In the limit of rapid rotation and small scattering length, we rigorously show that the ground state energy converges to that of a simplified model Hamiltonian with contact interaction projected onto the Lowest Landau Level. This effective Hamiltonian models the bosonic analogue of the Fractional Quantum Hall Effect (FQHE). For a fixed number of particles, we also prove convergence of states; in particular, in a certain regime we show convergence towards the bosonic Laughlin wavefunction. This is the first rigorous justification of the effective FQHE Hamiltonian for rapidly rotating Bose gases. We review previous results on this effective Hamiltonian and outline open problems."}],"date_updated":"2021-01-12T06:57:10Z","year":"2009","extern":1,"day":"01","author":[{"last_name":"Lewin","first_name":"Mathieu","full_name":"Lewin, Mathieu"},{"full_name":"Robert Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"_id":"2387","publisher":"Springer","status":"public","oa":1,"title":"Strongly correlated phases in rapidly rotating Bose gases","month":"01"},{"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0710.3183"}],"publist_id":"4539","volume":55,"citation":{"mla":"Predd, Joel, et al. “Probabilistic Coherence and Proper Scoring Rules.” <i>IEEE Transactions on Information Theory</i>, vol. 55, no. 10, IEEE, 2009, pp. 4786–92, doi:<a href=\"https://doi.org/10.1109/TIT.2009.2027573\">10.1109/TIT.2009.2027573</a>.","ista":"Predd J, Seiringer R, Lieb É, Osherson D, Poor H, Kulkarni S. 2009. Probabilistic coherence and proper scoring rules. IEEE Transactions on Information Theory. 55(10), 4786–4792.","apa":"Predd, J., Seiringer, R., Lieb, É., Osherson, D., Poor, H., &#38; Kulkarni, S. (2009). Probabilistic coherence and proper scoring rules. <i>IEEE Transactions on Information Theory</i>. IEEE. <a href=\"https://doi.org/10.1109/TIT.2009.2027573\">https://doi.org/10.1109/TIT.2009.2027573</a>","chicago":"Predd, Joel, Robert Seiringer, Élliott Lieb, Daniel Osherson, Harold Poor, and Sanjeev Kulkarni. “Probabilistic Coherence and Proper Scoring Rules.” <i>IEEE Transactions on Information Theory</i>. IEEE, 2009. <a href=\"https://doi.org/10.1109/TIT.2009.2027573\">https://doi.org/10.1109/TIT.2009.2027573</a>.","ieee":"J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, and S. Kulkarni, “Probabilistic coherence and proper scoring rules,” <i>IEEE Transactions on Information Theory</i>, vol. 55, no. 10. IEEE, pp. 4786–4792, 2009.","ama":"Predd J, Seiringer R, Lieb É, Osherson D, Poor H, Kulkarni S. Probabilistic coherence and proper scoring rules. <i>IEEE Transactions on Information Theory</i>. 2009;55(10):4786-4792. doi:<a href=\"https://doi.org/10.1109/TIT.2009.2027573\">10.1109/TIT.2009.2027573</a>","short":"J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE Transactions on Information Theory 55 (2009) 4786–4792."},"quality_controlled":0,"intvolume":"        55","date_created":"2018-12-11T11:57:23Z","page":"4786 - 4792","publication":"IEEE Transactions on Information Theory","publication_status":"published","doi":"10.1109/TIT.2009.2027573","date_published":"2009-10-01T00:00:00Z","type":"journal_article","title":"Probabilistic coherence and proper scoring rules","oa":1,"publisher":"IEEE","status":"public","month":"10","day":"01","extern":1,"year":"2009","date_updated":"2021-01-12T06:57:11Z","issue":"10","abstract":[{"lang":"eng","text":"This paper provides self-contained proof of a theorem relating probabilistic coherence of forecasts to their non-domination by rival forecasts with respect to any proper scoring rule. The theorem recapitulates insights achieved by other investigators, and clarifies the connection of coherence and proper scoring rules to Bregman divergence."}],"_id":"2388","author":[{"full_name":"Predd, Joel B","last_name":"Predd","first_name":"Joel"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Robert Seiringer"},{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott H"},{"full_name":"Osherson, Daniel N","first_name":"Daniel","last_name":"Osherson"},{"full_name":"Poor, Harold V","first_name":"Harold","last_name":"Poor"},{"full_name":"Kulkarni, Sanjeev R","last_name":"Kulkarni","first_name":"Sanjeev"}]},{"_id":"2433","author":[{"full_name":"Matoušek, Jiří","first_name":"Jiří","last_name":"Matoušek"},{"orcid":"0000-0002-1191-6714","first_name":"Martin","id":"38AC689C-F248-11E8-B48F-1D18A9856A87","last_name":"Tancer","full_name":"Martin Tancer"},{"full_name":"Uli Wagner","first_name":"Uli","orcid":"0000-0002-1494-0568","last_name":"Wagner","id":"36690CA2-F248-11E8-B48F-1D18A9856A87"}],"year":"2009","extern":1,"day":"01","abstract":[{"text":"Let EMBEDk→d be the following algorithmic problem: Given a finite simplicial complex K of dimension at most k, does there exist a (piecewise linear) embedding of K into ℝd? Known results easily imply polynomiality of EMBEDk→2 (k = 1, 2; the case k = 1, d = 2 is graph planarity) and of EMBEDk→2k for all k ≥ 3 (even if k is not considered fixed). We show that the celebrated result of Novikov on the algorithmic unsolvability of recognizing the 5-sphere implies that EMBED d→d and EMBED(d-1)→d are undecidable for each d ≥ 5. Our main result is NP-hardness of EMBED2→4 and, more generally, of EMBEDk→d for all k, d with d ≥ 4 and d ≥ k ≥ (2d - 2)/3.","lang":"eng"}],"date_updated":"2021-01-12T06:57:27Z","month":"01","oa":1,"title":"Hardness of embedding simplicial complexes in ℝd","publisher":"SIAM","status":"public","date_published":"2009-01-01T00:00:00Z","type":"conference","page":"855 - 864","date_created":"2018-12-11T11:57:38Z","conference":{"name":"SODA: Symposium on Discrete Algorithms"},"publication_status":"published","citation":{"ama":"Matoušek J, Tancer M, Wagner U. Hardness of embedding simplicial complexes in ℝd. In: SIAM; 2009:855-864.","ieee":"J. Matoušek, M. Tancer, and U. Wagner, “Hardness of embedding simplicial complexes in ℝd,” presented at the SODA: Symposium on Discrete Algorithms, 2009, pp. 855–864.","short":"J. Matoušek, M. Tancer, U. Wagner, in:, SIAM, 2009, pp. 855–864.","chicago":"Matoušek, Jiří, Martin Tancer, and Uli Wagner. “Hardness of Embedding Simplicial Complexes in ℝd,” 855–64. SIAM, 2009.","apa":"Matoušek, J., Tancer, M., &#38; Wagner, U. (2009). Hardness of embedding simplicial complexes in ℝd (pp. 855–864). Presented at the SODA: Symposium on Discrete Algorithms, SIAM.","mla":"Matoušek, Jiří, et al. <i>Hardness of Embedding Simplicial Complexes in ℝd</i>. SIAM, 2009, pp. 855–64.","ista":"Matoušek J, Tancer M, Wagner U. 2009. Hardness of embedding simplicial complexes in ℝd. SODA: Symposium on Discrete Algorithms, 855–864."},"quality_controlled":0,"publist_id":"4476","main_file_link":[{"url":"http://arxiv.org/abs/0807.0336","open_access":"1"}]},{"publication_status":"published","doi":"10.1016/j.comgeo.2008.03.005","page":"724 - 730","date_created":"2018-12-11T11:57:38Z","publication":"Computational Geometry: Theory and Applications","type":"journal_article","date_published":"2009-10-01T00:00:00Z","publist_id":"4475","quality_controlled":0,"intvolume":"        42","volume":42,"citation":{"ieee":"K. Buchin, A. Razen, T. Uno, and U. Wagner, “Transforming spanning trees: A lower bound,” <i>Computational Geometry: Theory and Applications</i>, vol. 42, no. 8. Elsevier, pp. 724–730, 2009.","ama":"Buchin K, Razen A, Uno T, Wagner U. Transforming spanning trees: A lower bound. <i>Computational Geometry: Theory and Applications</i>. 2009;42(8):724-730. doi:<a href=\"https://doi.org/10.1016/j.comgeo.2008.03.005\">10.1016/j.comgeo.2008.03.005</a>","short":"K. Buchin, A. Razen, T. Uno, U. Wagner, Computational Geometry: Theory and Applications 42 (2009) 724–730.","chicago":"Buchin, Kevin, Andreas Razen, Takeaki Uno, and Uli Wagner. “Transforming Spanning Trees: A Lower Bound.” <i>Computational Geometry: Theory and Applications</i>. Elsevier, 2009. <a href=\"https://doi.org/10.1016/j.comgeo.2008.03.005\">https://doi.org/10.1016/j.comgeo.2008.03.005</a>.","apa":"Buchin, K., Razen, A., Uno, T., &#38; Wagner, U. (2009). Transforming spanning trees: A lower bound. <i>Computational Geometry: Theory and Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.comgeo.2008.03.005\">https://doi.org/10.1016/j.comgeo.2008.03.005</a>","ista":"Buchin K, Razen A, Uno T, Wagner U. 2009. Transforming spanning trees: A lower bound. Computational Geometry: Theory and Applications. 42(8), 724–730.","mla":"Buchin, Kevin, et al. “Transforming Spanning Trees: A Lower Bound.” <i>Computational Geometry: Theory and Applications</i>, vol. 42, no. 8, Elsevier, 2009, pp. 724–30, doi:<a href=\"https://doi.org/10.1016/j.comgeo.2008.03.005\">10.1016/j.comgeo.2008.03.005</a>."},"date_updated":"2021-01-12T06:57:28Z","abstract":[{"lang":"eng","text":"For a planar point set we consider the graph whose vertices are the crossing-free straight-line spanning trees of the point set, and two such spanning trees are adjacent if their union is crossing-free. An upper bound on the diameter of this graph implies an upper bound on the diameter of the flip graph of pseudo-triangulations of the underlying point set. We prove a lower bound of Ω(logn/loglogn) for the diameter of the transformation graph of spanning trees on a set of n points in the plane. This nearly matches the known upper bound of O(logn). If we measure the diameter in terms of the number of convex layers k of the point set, our lower bound construction is tight, i.e., the diameter is in Ω(logk) which matches the known upper bound of O(logk). So far only constant lower bounds were known."}],"issue":"8","day":"01","year":"2009","extern":1,"author":[{"last_name":"Buchin","first_name":"Kevin","full_name":"Buchin, Kevin"},{"first_name":"Andreas","last_name":"Razen","full_name":"Razen, Andreas"},{"last_name":"Uno","first_name":"Takeaki","full_name":"Uno, Takeaki"},{"id":"36690CA2-F248-11E8-B48F-1D18A9856A87","last_name":"Wagner","first_name":"Uli","orcid":"0000-0002-1494-0568","full_name":"Uli Wagner"}],"_id":"2434","publisher":"Elsevier","status":"public","title":"Transforming spanning trees: A lower bound","month":"10"},{"article_processing_charge":"No","article_type":"original","related_material":{"record":[{"relation":"earlier_version","status":"public","id":"11752"}]},"citation":{"ista":"Yang X-D, Riseborough PS, Modic KA, Fisher RA, Opeil CP, Finlayson TR, Cooley JC, Smith JL, Goddard PA, Silhanek AV, Lashley JC. 2009. Influence of magnetic fields on structural martensitic transitions. Philosophical Magazine. 89(22–24), 2083–2091.","apa":"Yang, X.-D., Riseborough, P. S., Modic, K. A., Fisher, R. A., Opeil, C. P., Finlayson, T. R., … Lashley, J. C. (2009). Influence of magnetic fields on structural martensitic transitions. <i>Philosophical Magazine</i>. Taylor &#38; Francis. <a href=\"https://doi.org/10.1080/14786430902865518\">https://doi.org/10.1080/14786430902865518</a>","mla":"Yang, X. D., et al. “Influence of Magnetic Fields on Structural Martensitic Transitions.” <i>Philosophical Magazine</i>, vol. 89, no. 22–24, Taylor &#38; Francis, 2009, pp. 2083–91, doi:<a href=\"https://doi.org/10.1080/14786430902865518\">10.1080/14786430902865518</a>.","chicago":"Yang, X.-D., P.S. Riseborough, Kimberly A Modic, R.A. Fisher, C.P. Opeil, T.R. Finlayson, J.C. Cooley, et al. “Influence of Magnetic Fields on Structural Martensitic Transitions.” <i>Philosophical Magazine</i>. Taylor &#38; Francis, 2009. <a href=\"https://doi.org/10.1080/14786430902865518\">https://doi.org/10.1080/14786430902865518</a>.","short":"X.-D. Yang, P.S. Riseborough, K.A. Modic, R.A. Fisher, C.P. Opeil, T.R. Finlayson, J.C. Cooley, J.L. Smith, P.A. Goddard, A.V. Silhanek, J.C. Lashley, Philosophical Magazine 89 (2009) 2083–2091.","ieee":"X.-D. Yang <i>et al.</i>, “Influence of magnetic fields on structural martensitic transitions,” <i>Philosophical Magazine</i>, vol. 89, no. 22–24. Taylor &#38; Francis, pp. 2083–2091, 2009.","ama":"Yang X-D, Riseborough PS, Modic KA, et al. Influence of magnetic fields on structural martensitic transitions. <i>Philosophical Magazine</i>. 2009;89(22-24):2083-2091. doi:<a href=\"https://doi.org/10.1080/14786430902865518\">10.1080/14786430902865518</a>"},"intvolume":"        89","quality_controlled":"1","volume":89,"publication":"Philosophical Magazine","page":"2083-2091","date_created":"2019-11-19T13:48:32Z","doi":"10.1080/14786430902865518","publication_status":"published","date_published":"2009-08-21T00:00:00Z","language":[{"iso":"eng"}],"oa_version":"None","type":"journal_article","publication_identifier":{"eissn":["1478-6443"],"issn":["1478-6435"]},"title":"Influence of magnetic fields on structural martensitic transitions","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Taylor & Francis","status":"public","month":"08","year":"2009","extern":"1","day":"21","issue":"22-24","abstract":[{"text":"We show evidence that a structural martensitic transition is related to significant changes in the electronic structure, as revealed in thermodynamic measurements made in high magnetic fields. The effect of the magnetic field is considered unusual as many influential investigations of martensitic transitions have emphasized that the structural transitions are primarily lattice dynamical and are driven by the entropy due to the phonons. We provide a theoretical framework, which can be used to describe the effect of the magnetic field on the lattice dynamics in which the field dependence originates from the dielectric constant.","lang":"eng"}],"date_updated":"2023-02-21T16:26:53Z","_id":"7080","author":[{"last_name":"Yang","first_name":"X.-D.","full_name":"Yang, X.-D."},{"full_name":"Riseborough, P.S.","last_name":"Riseborough","first_name":"P.S."},{"full_name":"Modic, Kimberly A","orcid":"0000-0001-9760-3147","first_name":"Kimberly A","last_name":"Modic","id":"13C26AC0-EB69-11E9-87C6-5F3BE6697425"},{"first_name":"R.A.","last_name":"Fisher","full_name":"Fisher, R.A."},{"full_name":"Opeil, C.P.","first_name":"C.P.","last_name":"Opeil"},{"full_name":"Finlayson, T.R.","last_name":"Finlayson","first_name":"T.R."},{"full_name":"Cooley, J.C.","first_name":"J.C.","last_name":"Cooley"},{"last_name":"Smith","first_name":"J.L.","full_name":"Smith, J.L."},{"last_name":"Goddard","first_name":"P.A.","full_name":"Goddard, P.A."},{"full_name":"Silhanek, A.V.","first_name":"A.V.","last_name":"Silhanek"},{"full_name":"Lashley, J.C.","last_name":"Lashley","first_name":"J.C."}]}]