[{"date_created":"2018-12-11T11:56:57Z","date_updated":"2021-01-12T06:56:44Z","author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Robert Seiringer"},{"full_name":"Solovej, Jan P","last_name":"Solovej","first_name":"Jan"}],"publisher":"World Scientific Publishing","publication_status":"published","title":"Microscopic derivation of the Ginzburg-Landau model","status":"public","year":"2012","_id":"2317","extern":1,"publist_id":"4610","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"}],"type":"conference","doi":"10.1142/9789814449243_0060","date_published":"2012-08-01T00:00:00Z","conference":{"name":"ICMP: International Congress on Mathematical Physics"},"page":"575 - 583","quality_controlled":0,"main_file_link":[{"url":"http://arxiv.org/abs/1209.1080","open_access":"1"}],"oa":1,"citation":{"mla":"Frank, Rupert, et al. Microscopic Derivation of the Ginzburg-Landau Model. World Scientific Publishing, 2012, pp. 575–83, doi:10.1142/9789814449243_0060.","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.","chicago":"Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of the Ginzburg-Landau Model,” 575–83. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0060.","ama":"Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of the Ginzburg-Landau model. In: World Scientific Publishing; 2012:575-583. doi:10.1142/9789814449243_0060","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.","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.","apa":"Frank, R., Hainzl, C., Seiringer, R., & 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. https://doi.org/10.1142/9789814449243_0060"},"month":"08","day":"01"},{"extern":1,"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","type":"conference","date_created":"2018-12-11T11:56:57Z","date_updated":"2021-01-12T06:56:44Z","author":[{"full_name":"Frank, Rupert L","last_name":"Frank","first_name":"Rupert"},{"full_name":"Lieb, Élliott H","first_name":"Élliott","last_name":"Lieb"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer"},{"first_name":"Lawrence","last_name":"Thomas","full_name":"Thomas, Lawrence E"}],"title":"Ground state properties of multi-polaron systems","publication_status":"published","status":"public","publisher":"World Scientific Publishing","year":"2012","_id":"2316","day":"01","month":"08","conference":{"name":"ICMP: International Congress on Mathematical Physics"},"date_published":"2012-08-01T00:00:00Z","doi":"10.1142/9789814449243_0045","quality_controlled":0,"page":"477 - 485","oa":1,"citation":{"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.","apa":"Frank, R., Lieb, É., Seiringer, R., & 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. https://doi.org/10.1142/9789814449243_0045","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.","ama":"Frank R, Lieb É, Seiringer R, Thomas L. Ground state properties of multi-polaron systems. In: World Scientific Publishing; 2012:477-485. doi:10.1142/9789814449243_0045","chicago":"Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Ground State Properties of Multi-Polaron Systems,” 477–85. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0045.","short":"R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.","mla":"Frank, Rupert, et al. Ground State Properties of Multi-Polaron Systems. World Scientific Publishing, 2012, pp. 477–85, doi:10.1142/9789814449243_0045."},"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1209.3717"}]},{"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"}],"issue":"1","publist_id":"7667","extern":1,"type":"journal_article","author":[{"full_name":"de la Bretèche, Régis","last_name":"De La Bretèche","first_name":"Régis"},{"full_name":"Timothy Browning","first_name":"Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177"},{"full_name":"Peyre, Emmanuel","first_name":"Emmanuel","last_name":"Peyre"}],"date_updated":"2021-01-12T06:57:04Z","date_created":"2018-12-11T11:45:22Z","volume":175,"_id":"237","year":"2012","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","status":"public","title":"On Manin's conjecture for a family of Châtelet surfaces","publication_status":"published","intvolume":" 175","publisher":"Princeton University Press","month":"01","day":"01","date_published":"2012-01-01T00:00:00Z","doi":"10.4007/annals.2012.175.1.8","publication":"Annals of Mathematics","citation":{"mla":"De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics, vol. 175, no. 1, Princeton University Press, 2012, pp. 297–343, doi:10.4007/annals.2012.175.1.8.","short":"R. De La Bretèche, T.D. Browning, E. Peyre, Annals of Mathematics 175 (2012) 297–343.","chicago":"De La Bretèche, Régis, Timothy D Browning, and Emmanuel Peyre. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics. Princeton University Press, 2012. https://doi.org/10.4007/annals.2012.175.1.8.","ama":"De La Bretèche R, Browning TD, Peyre E. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 2012;175(1):297-343. doi:10.4007/annals.2012.175.1.8","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,” Annals of Mathematics, vol. 175, no. 1. Princeton University Press, pp. 297–343, 2012.","apa":"De La Bretèche, R., Browning, T. D., & Peyre, E. (2012). On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.175.1.8"},"quality_controlled":0,"page":"297 - 343"},{"status":"public","title":"Inhomogeneous quadratic congruences","publication_status":"published","intvolume":" 47","publisher":"Adam Mickiewicz University Press","year":"2012","_id":"238","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","date_created":"2018-12-11T11:45:22Z","date_updated":"2021-01-12T06:57:08Z","volume":47,"author":[{"full_name":"Baier, Stephan","first_name":"Stephan","last_name":"Baier"},{"full_name":"Timothy Browning","first_name":"Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177"}],"type":"journal_article","extern":1,"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","publist_id":"7666","quality_controlled":0,"page":"267 - 286","publication":"Functiones et Approximatio, Commentarii Mathematici","citation":{"apa":"Baier, S., & Browning, T. D. (2012). Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University Press. https://doi.org/10.7169/facm/2012.47.2.9","ieee":"S. Baier and T. D. Browning, “Inhomogeneous quadratic congruences,” Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2. Adam Mickiewicz University Press, pp. 267–286, 2012.","ista":"Baier S, Browning TD. 2012. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 47(2), 267–286.","ama":"Baier S, Browning TD. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 2012;47(2):267-286. doi:10.7169/facm/2012.47.2.9","chicago":"Baier, Stephan, and Timothy D Browning. “Inhomogeneous Quadratic Congruences.” Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University Press, 2012. https://doi.org/10.7169/facm/2012.47.2.9.","short":"S. Baier, T.D. Browning, Functiones et Approximatio, Commentarii Mathematici 47 (2012) 267–286.","mla":"Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Quadratic Congruences.” Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2, Adam Mickiewicz University Press, 2012, pp. 267–86, doi:10.7169/facm/2012.47.2.9."},"date_published":"2012-12-20T00:00:00Z","doi":"10.7169/facm/2012.47.2.9","month":"12","day":"20"},{"doi":"10.1007/978-3-642-29511-9_2","date_published":"2012-01-01T00:00:00Z","page":"55 - 92","quality_controlled":0,"citation":{"ista":"Seiringer R. 2012.Cold quantum gases and bose einstein condensation. In: Quantum Many Body Systems. Lecture Notes in Mathematics, vol. 2051, 55–92.","apa":"Seiringer, R. (2012). Cold quantum gases and bose einstein condensation. In V. Rivasseau, R. Seiringer, J. Solovej, & T. Spencer (Eds.), Quantum Many Body Systems (Vol. 2051, pp. 55–92). Springer. https://doi.org/10.1007/978-3-642-29511-9_2","ieee":"R. Seiringer, “Cold quantum gases and bose einstein condensation,” in Quantum Many Body Systems, vol. 2051, V. Rivasseau, R. Seiringer, J. Solovej, and T. Spencer, Eds. Springer, 2012, pp. 55–92.","ama":"Seiringer R. Cold quantum gases and bose einstein condensation. In: Rivasseau V, Seiringer R, Solovej J, Spencer T, eds. Quantum Many Body Systems. Vol 2051. Springer; 2012:55-92. doi:10.1007/978-3-642-29511-9_2","chicago":"Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” In Quantum Many Body Systems, edited by Vincent Rivasseau, Robert Seiringer, Jan Solovej, and Thomas Spencer, 2051:55–92. Springer, 2012. https://doi.org/10.1007/978-3-642-29511-9_2.","mla":"Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” Quantum Many Body Systems, edited by Vincent Rivasseau et al., vol. 2051, Springer, 2012, pp. 55–92, doi:10.1007/978-3-642-29511-9_2.","short":"R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92."},"publication":"Quantum Many Body Systems","day":"01","month":"01","volume":2051,"date_updated":"2021-01-12T06:57:14Z","date_created":"2018-12-11T11:57:26Z","author":[{"full_name":"Robert Seiringer","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"editor":[{"last_name":"Rivasseau","first_name":"Vincent","full_name":"Rivasseau, Vincent"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan P"},{"first_name":"Thomas","last_name":"Spencer","full_name":"Spencer, Thomas"}],"publisher":"Springer","intvolume":" 2051","publication_status":"published","title":"Cold quantum gases and bose einstein condensation","status":"public","_id":"2399","year":"2012","extern":1,"publist_id":"4526","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"}],"alternative_title":["Lecture Notes in Mathematics"],"type":"book_chapter"}]