[{"date_published":"2019-12-01T00:00:00Z","article_type":"letter_note","publication":"Journal of Mathematical Physics","citation":{"chicago":"Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics. AIP Publishing, 2019. https://doi.org/10.1063/1.5138135.","short":"V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).","mla":"Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics, vol. 60, no. 12, 123504, AIP Publishing, 2019, doi:10.1063/1.5138135.","apa":"Jaksic, V., & Seiringer, R. (2019). Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/1.5138135","ieee":"V. Jaksic and R. Seiringer, “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018,” Journal of Mathematical Physics, vol. 60, no. 12. AIP Publishing, 2019.","ista":"Jaksic V, Seiringer R. 2019. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. 60(12), 123504.","ama":"Jaksic V, Seiringer R. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. 2019;60(12). doi:10.1063/1.5138135"},"day":"01","article_processing_charge":"No","has_accepted_license":"1","scopus_import":"1","file":[{"date_updated":"2020-07-14T12:47:54Z","date_created":"2020-01-07T14:59:13Z","checksum":"bbd12ad1999a9ad7ba4d3c6f2e579c22","relation":"main_file","file_id":"7244","file_size":1025015,"content_type":"application/pdf","creator":"dernst","file_name":"2019_JournalMathPhysics_Jaksic.pdf","access_level":"open_access"}],"oa_version":"Published Version","title":"Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018","status":"public","ddc":["500"],"intvolume":" 60","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"7226","issue":"12","type":"journal_article","language":[{"iso":"eng"}],"doi":"10.1063/1.5138135","quality_controlled":"1","isi":1,"external_id":{"isi":["000505529800002"]},"oa":1,"month":"12","publication_identifier":{"issn":["00222488"]},"date_created":"2020-01-05T23:00:46Z","date_updated":"2024-02-28T13:01:45Z","volume":60,"author":[{"last_name":"Jaksic","first_name":"Vojkan","full_name":"Jaksic, Vojkan"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"AIP Publishing","year":"2019","file_date_updated":"2020-07-14T12:47:54Z","article_number":"123504"},{"language":[{"iso":"eng"}],"doi":"10.1103/physrevb.100.035127","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"isi":1,"quality_controlled":"1","external_id":{"isi":["000477888200001"],"arxiv":["1905.09138"]},"oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1905.09138","open_access":"1"}],"publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"month":"07","volume":100,"date_updated":"2024-02-28T13:13:23Z","date_created":"2019-11-13T08:41:48Z","author":[{"last_name":"Lewin","first_name":"Mathieu","full_name":"Lewin, Mathieu"},{"first_name":"Elliott H.","last_name":"Lieb","full_name":"Lieb, Elliott H."},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"department":[{"_id":"RoSe"}],"publisher":"American Physical Society","publication_status":"published","year":"2019","ec_funded":1,"article_number":"035127","date_published":"2019-07-25T00:00:00Z","article_type":"original","citation":{"chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B. American Physical Society, 2019. https://doi.org/10.1103/physrevb.100.035127.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).","mla":"Lewin, Mathieu, et al. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B, vol. 100, no. 3, 035127, American Physical Society, 2019, doi:10.1103/physrevb.100.035127.","apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2019). Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.100.035127","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Floating Wigner crystal with no boundary charge fluctuations,” Physical Review B, vol. 100, no. 3. American Physical Society, 2019.","ista":"Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 100(3), 035127.","ama":"Lewin M, Lieb EH, Seiringer R. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 2019;100(3). doi:10.1103/physrevb.100.035127"},"publication":"Physical Review B","article_processing_charge":"No","day":"25","scopus_import":"1","oa_version":"Preprint","intvolume":" 100","title":"Floating Wigner crystal with no boundary charge fluctuations","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"7015","issue":"3","abstract":[{"text":"We modify the \"floating crystal\" trial state for the classical homogeneous electron gas (also known as jellium), in order to suppress the boundary charge fluctuations that are known to lead to a macroscopic increase of the energy. The argument is to melt a thin layer of the crystal close to the boundary and consequently replace it by an incompressible fluid. With the aid of this trial state we show that three different definitions of the ground-state energy of jellium coincide. In the first point of view the electrons are placed in a neutralizing uniform background. In the second definition there is no background but the electrons are submitted to the constraint that their density is constant, as is appropriate in density functional theory. Finally, in the third system each electron interacts with a periodic image of itself; that is, periodic boundary conditions are imposed on the interaction potential.","lang":"eng"}],"type":"journal_article"},{"department":[{"_id":"RoSe"}],"publisher":"Springer","publication_status":"published","year":"2018","volume":270,"date_updated":"2021-01-12T06:48:16Z","date_created":"2018-12-11T11:44:08Z","author":[{"last_name":"Leopold","first_name":"Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K"},{"first_name":"Peter","last_name":"Pickl","full_name":"Pickl, Peter"}],"publist_id":"8045","ec_funded":1,"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"quality_controlled":"1","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1806.10843","open_access":"1"}],"external_id":{"arxiv":["1806.10843"]},"language":[{"iso":"eng"}],"doi":"10.1007/978-3-030-01602-9_9","conference":{"end_date":"2017-04-01","start_date":"2017-03-30","location":"Munich, Germany","name":"MaLiQS: Macroscopic Limits of Quantum Systems"},"month":"10","intvolume":" 270","status":"public","title":"Mean-field limits of particles in interaction with quantised radiation fields","_id":"11","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","type":"conference","abstract":[{"lang":"eng","text":"We report on a novel strategy to derive mean-field limits of quantum mechanical systems in which a large number of particles weakly couple to a second-quantized radiation field. The technique combines the method of counting and the coherent state approach to study the growth of the correlations among the particles and in the radiation field. As an instructional example, we derive the Schrödinger–Klein–Gordon system of equations from the Nelson model with ultraviolet cutoff and possibly massless scalar field. In particular, we prove the convergence of the reduced density matrices (of the nonrelativistic particles and the field bosons) associated with the exact time evolution to the projectors onto the solutions of the Schrödinger–Klein–Gordon equations in trace norm. Furthermore, we derive explicit bounds on the rate of convergence of the one-particle reduced density matrix of the nonrelativistic particles in Sobolev norm."}],"page":"185 - 214","citation":{"chicago":"Leopold, Nikolai K, and Peter Pickl. “Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields,” 270:185–214. Springer, 2018. https://doi.org/10.1007/978-3-030-01602-9_9.","short":"N.K. Leopold, P. Pickl, in:, Springer, 2018, pp. 185–214.","mla":"Leopold, Nikolai K., and Peter Pickl. Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields. Vol. 270, Springer, 2018, pp. 185–214, doi:10.1007/978-3-030-01602-9_9.","apa":"Leopold, N. K., & Pickl, P. (2018). Mean-field limits of particles in interaction with quantised radiation fields (Vol. 270, pp. 185–214). Presented at the MaLiQS: Macroscopic Limits of Quantum Systems, Munich, Germany: Springer. https://doi.org/10.1007/978-3-030-01602-9_9","ieee":"N. K. Leopold and P. Pickl, “Mean-field limits of particles in interaction with quantised radiation fields,” presented at the MaLiQS: Macroscopic Limits of Quantum Systems, Munich, Germany, 2018, vol. 270, pp. 185–214.","ista":"Leopold NK, Pickl P. 2018. Mean-field limits of particles in interaction with quantised radiation fields. MaLiQS: Macroscopic Limits of Quantum Systems vol. 270, 185–214.","ama":"Leopold NK, Pickl P. Mean-field limits of particles in interaction with quantised radiation fields. In: Vol 270. Springer; 2018:185-214. doi:10.1007/978-3-030-01602-9_9"},"date_published":"2018-10-27T00:00:00Z","scopus_import":1,"day":"27"},{"month":"05","publication_identifier":{"issn":["00103616"]},"oa":1,"external_id":{"arxiv":["1511.05953"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1511.05953"}],"quality_controlled":"1","project":[{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27"}],"doi":"10.1007/s00220-017-3064-x","language":[{"iso":"eng"}],"publist_id":"7260","year":"2018","publication_status":"published","publisher":"Springer","department":[{"_id":"RoSe"}],"author":[{"full_name":"Napiórkowski, Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","last_name":"Napiórkowski","first_name":"Marcin M"},{"last_name":"Reuvers","first_name":"Robin","full_name":"Reuvers, Robin"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan"}],"date_created":"2018-12-11T11:47:09Z","date_updated":"2021-01-12T08:02:35Z","volume":360,"scopus_import":1,"day":"01","publication":"Communications in Mathematical Physics","citation":{"ama":"Napiórkowski MM, Reuvers R, Solovej J. The Bogoliubov free energy functional II: The dilute Limit. Communications in Mathematical Physics. 2018;360(1):347-403. doi:10.1007/s00220-017-3064-x","ista":"Napiórkowski MM, Reuvers R, Solovej J. 2018. The Bogoliubov free energy functional II: The dilute Limit. Communications in Mathematical Physics. 360(1), 347–403.","apa":"Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). The Bogoliubov free energy functional II: The dilute Limit. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-017-3064-x","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “The Bogoliubov free energy functional II: The dilute Limit,” Communications in Mathematical Physics, vol. 360, no. 1. Springer, pp. 347–403, 2018.","mla":"Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional II: The Dilute Limit.” Communications in Mathematical Physics, vol. 360, no. 1, Springer, 2018, pp. 347–403, doi:10.1007/s00220-017-3064-x.","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, Communications in Mathematical Physics 360 (2018) 347–403.","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “The Bogoliubov Free Energy Functional II: The Dilute Limit.” Communications in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s00220-017-3064-x."},"page":"347-403","date_published":"2018-05-01T00:00:00Z","type":"journal_article","abstract":[{"lang":"eng","text":"We analyse the canonical Bogoliubov free energy functional in three dimensions at low temperatures in the dilute limit. We prove existence of a first-order phase transition and, in the limit (Formula presented.), we determine the critical temperature to be (Formula presented.) to leading order. Here, (Formula presented.) is the critical temperature of the free Bose gas, ρ is the density of the gas and a is the scattering length of the pair-interaction potential V. We also prove asymptotic expansions for the free energy. In particular, we recover the Lee–Huang–Yang formula in the limit (Formula presented.)."}],"issue":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"554","status":"public","title":"The Bogoliubov free energy functional II: The dilute Limit","intvolume":" 360","oa_version":"Submitted Version"},{"month":"01","project":[{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"}],"isi":1,"quality_controlled":"1","main_file_link":[{"url":"https://arxiv.org/abs/1706.01822","open_access":"1"}],"external_id":{"arxiv":["1706.01822"],"isi":["000460003000003"]},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1209/0295-5075/121/10007","article_number":"10007","publist_id":"7432","publisher":"IOP Publishing Ltd.","department":[{"_id":"RoSe"}],"publication_status":"published","acknowledgement":"We thank Robert Seiringer and Daniel Ueltschi for bringing the issue of the change in critical temperature to our attention. We also thank the Erwin Schrödinger Institute (all authors) and the Department of Mathematics, University of Copenhagen (MN) for the hospitality during the period this work was carried out. We gratefully acknowledge the financial support by the European Unions Seventh Framework Programme under the ERC Grant Agreement Nos. 321029 (JPS and RR) and 337603 (RR) as well as support by the VIL-LUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059) (JPS and RR), by the National Science Center (NCN) under grant No. 2016/21/D/ST1/02430 and the Austrian Science Fund (FWF) through project No. P 27533-N27 (MN).","year":"2018","volume":121,"date_updated":"2023-09-08T13:30:51Z","date_created":"2018-12-11T11:46:15Z","author":[{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","last_name":"Napiórkowski","first_name":"Marcin M","full_name":"Napiórkowski, Marcin M"},{"last_name":"Reuvers","first_name":"Robin","full_name":"Reuvers, Robin"},{"full_name":"Solovej, Jan","first_name":"Jan","last_name":"Solovej"}],"scopus_import":"1","article_processing_charge":"No","day":"01","article_type":"original","citation":{"short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, EPL 121 (2018).","mla":"Napiórkowski, Marcin M., et al. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” EPL, vol. 121, no. 1, 10007, IOP Publishing Ltd., 2018, doi:10.1209/0295-5075/121/10007.","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” EPL. IOP Publishing Ltd., 2018. https://doi.org/10.1209/0295-5075/121/10007.","ama":"Napiórkowski MM, Reuvers R, Solovej J. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 2018;121(1). doi:10.1209/0295-5075/121/10007","apa":"Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. IOP Publishing Ltd. https://doi.org/10.1209/0295-5075/121/10007","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation,” EPL, vol. 121, no. 1. IOP Publishing Ltd., 2018.","ista":"Napiórkowski MM, Reuvers R, Solovej J. 2018. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 121(1), 10007."},"publication":"EPL","date_published":"2018-01-01T00:00:00Z","type":"journal_article","issue":"1","abstract":[{"lang":"eng","text":"Following an earlier calculation in 3D, we calculate the 2D critical temperature of a dilute, translation-invariant Bose gas using a variational formulation of the Bogoliubov approximation introduced by Critchley and Solomon in 1976. This provides the first analytical calculation of the Kosterlitz-Thouless transition temperature that includes the constant in the logarithm."}],"intvolume":" 121","status":"public","title":"Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation","_id":"399","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Preprint"},{"citation":{"ama":"Lundholm D, Seiringer R. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 2018;108(11):2523-2541. doi:10.1007/s11005-018-1091-y","apa":"Lundholm, D., & Seiringer, R. (2018). Fermionic behavior of ideal anyons. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-018-1091-y","ieee":"D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” Letters in Mathematical Physics, vol. 108, no. 11. Springer, pp. 2523–2541, 2018.","ista":"Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 108(11), 2523–2541.","short":"D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.","mla":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:10.1007/s11005-018-1091-y.","chicago":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s11005-018-1091-y."},"publication":"Letters in Mathematical Physics","page":"2523-2541","date_published":"2018-05-11T00:00:00Z","scopus_import":"1","article_processing_charge":"No","has_accepted_license":"1","day":"11","_id":"295","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","intvolume":" 108","title":"Fermionic behavior of ideal anyons","ddc":["510"],"status":"public","file":[{"relation":"main_file","file_id":"5698","date_updated":"2020-07-14T12:45:55Z","date_created":"2018-12-17T12:14:17Z","checksum":"8beb9632fa41bbd19452f55f31286a31","file_name":"2018_LettMathPhys_Lundholm.pdf","access_level":"open_access","content_type":"application/pdf","file_size":551996,"creator":"dernst"}],"oa_version":"Published Version","type":"journal_article","issue":"11","abstract":[{"lang":"eng","text":"We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter (Formula presented.). The lower bounds extend to Lieb–Thirring inequalities for all anyons except bosons."}],"oa":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","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"arxiv":["1712.06218"],"isi":["000446491500008"]},"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"quality_controlled":"1","isi":1,"doi":"10.1007/s11005-018-1091-y","language":[{"iso":"eng"}],"month":"05","acknowledgement":"Financial support from the Swedish Research Council, grant no. 2013-4734 (D. L.), the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 694227, R. S.), and by the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R. S.), is gratefully acknowledged.","year":"2018","department":[{"_id":"RoSe"}],"publisher":"Springer","publication_status":"published","author":[{"first_name":"Douglas","last_name":"Lundholm","full_name":"Lundholm, Douglas"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"volume":108,"date_updated":"2023-09-11T14:01:57Z","date_created":"2018-12-11T11:45:40Z","ec_funded":1,"publist_id":"7586","file_date_updated":"2020-07-14T12:45:55Z"},{"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"quality_controlled":"1","isi":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","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"external_id":{"isi":["000429799900008"]},"language":[{"iso":"eng"}],"doi":"10.1007/s00023-018-0665-7","month":"05","department":[{"_id":"RoSe"}],"publisher":"Springer","publication_status":"published","year":"2018","volume":19,"date_updated":"2023-09-15T12:04:15Z","date_created":"2018-12-11T11:46:15Z","author":[{"full_name":"Deuchert, Andreas","first_name":"Andreas","last_name":"Deuchert","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746"},{"full_name":"Geisinge, Alissa","first_name":"Alissa","last_name":"Geisinge"},{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"first_name":"Michael","last_name":"Loss","full_name":"Loss, Michael"}],"publist_id":"7429","ec_funded":1,"file_date_updated":"2020-07-14T12:46:22Z","page":"1507 - 1527","citation":{"ama":"Deuchert A, Geisinge A, Hainzl C, Loss M. Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. 2018;19(5):1507-1527. doi:10.1007/s00023-018-0665-7","ista":"Deuchert A, Geisinge A, Hainzl C, Loss M. 2018. Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. 19(5), 1507–1527.","apa":"Deuchert, A., Geisinge, A., Hainzl, C., & Loss, M. (2018). Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. Springer. https://doi.org/10.1007/s00023-018-0665-7","ieee":"A. Deuchert, A. Geisinge, C. Hainzl, and M. Loss, “Persistence of translational symmetry in the BCS model with radial pair interaction,” Annales Henri Poincare, vol. 19, no. 5. Springer, pp. 1507–1527, 2018.","mla":"Deuchert, Andreas, et al. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare, vol. 19, no. 5, Springer, 2018, pp. 1507–27, doi:10.1007/s00023-018-0665-7.","short":"A. Deuchert, A. Geisinge, C. Hainzl, M. Loss, Annales Henri Poincare 19 (2018) 1507–1527.","chicago":"Deuchert, Andreas, Alissa Geisinge, Christian Hainzl, and Michael Loss. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare. Springer, 2018. https://doi.org/10.1007/s00023-018-0665-7."},"publication":"Annales Henri Poincare","date_published":"2018-05-01T00:00:00Z","scopus_import":"1","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"01","intvolume":" 19","title":"Persistence of translational symmetry in the BCS model with radial pair interaction","status":"public","ddc":["510"],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"400","oa_version":"Published Version","file":[{"relation":"main_file","file_id":"4966","checksum":"04d2c9bd7cbf3ca1d7acaaf4e7dca3e5","date_created":"2018-12-12T10:12:47Z","date_updated":"2020-07-14T12:46:22Z","access_level":"open_access","file_name":"IST-2018-1011-v1+1_2018_Deuchert_Persistence.pdf","content_type":"application/pdf","file_size":582680,"creator":"system"}],"pubrep_id":"1011","type":"journal_article","issue":"5","abstract":[{"text":"We consider the two-dimensional BCS functional with a radial pair interaction. We show that the translational symmetry is not broken in a certain temperature interval below the critical temperature. In the case of vanishing angular momentum, our results carry over to the three-dimensional case.","lang":"eng"}]},{"type":"journal_article","issue":"3","abstract":[{"lang":"eng","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."}],"intvolume":" 21","title":"Stability of the 2+2 fermionic system with point interactions","status":"public","ddc":["530"],"_id":"154","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Published Version","file":[{"relation":"main_file","file_id":"5729","checksum":"411c4db5700d7297c9cd8ebc5dd29091","date_created":"2018-12-17T16:49:02Z","date_updated":"2020-07-14T12:45:01Z","access_level":"open_access","file_name":"2018_MathPhysics_Moser.pdf","file_size":496973,"content_type":"application/pdf","creator":"dernst"}],"scopus_import":"1","article_processing_charge":"No","has_accepted_license":"1","day":"01","article_type":"original","citation":{"short":"T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).","mla":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry, vol. 21, no. 3, 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.","chicago":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry. Springer, 2018. https://doi.org/10.1007/s11040-018-9275-3.","ama":"Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 2018;21(3). doi:10.1007/s11040-018-9275-3","apa":"Moser, T., & Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-018-9275-3","ieee":"T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” Mathematical Physics Analysis and Geometry, vol. 21, no. 3. Springer, 2018.","ista":"Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19."},"publication":"Mathematical Physics Analysis and Geometry","date_published":"2018-09-01T00:00:00Z","article_number":"19","ec_funded":1,"publist_id":"7767","file_date_updated":"2020-07-14T12:45:01Z","department":[{"_id":"RoSe"}],"publisher":"Springer","publication_status":"published","year":"2018","acknowledgement":"Open access funding provided by Austrian Science Fund (FWF).","volume":21,"date_created":"2018-12-11T11:44:55Z","date_updated":"2023-09-19T09:31:15Z","related_material":{"record":[{"id":"52","relation":"dissertation_contains","status":"public"}]},"author":[{"full_name":"Moser, Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser","first_name":"Thomas"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"publication_identifier":{"eissn":["15729656"],"issn":["13850172"]},"month":"09","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"},{"name":"FWF Open Access Fund","call_identifier":"FWF","_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1"}],"isi":1,"quality_controlled":"1","oa":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","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000439639700001"]},"language":[{"iso":"eng"}],"doi":"10.1007/s11040-018-9275-3"},{"type":"journal_article","alternative_title":["Annales Henri Poincare"],"issue":"4","abstract":[{"lang":"eng","text":"The derivation of effective evolution equations is central to the study of non-stationary quantum many-body systems, and widely used in contexts such as superconductivity, nuclear physics, Bose–Einstein condensation and quantum chemistry. We reformulate the Dirac–Frenkel approximation principle in terms of reduced density matrices and apply it to fermionic and bosonic many-body systems. We obtain the Bogoliubov–de Gennes and Hartree–Fock–Bogoliubov equations, respectively. While we do not prove quantitative error estimates, our formulation does show that the approximation is optimal within the class of quasifree states. Furthermore, we prove well-posedness of the Bogoliubov–de Gennes equations in energy space and discuss conserved quantities"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"455","intvolume":" 19","ddc":["510","539"],"title":"The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations","status":"public","pubrep_id":"993","oa_version":"Published Version","file":[{"checksum":"883eeccba8384ad7fcaa28761d99a0fa","date_created":"2018-12-12T10:11:57Z","date_updated":"2020-07-14T12:46:31Z","relation":"main_file","file_id":"4914","file_size":923252,"content_type":"application/pdf","creator":"system","access_level":"open_access","file_name":"IST-2018-993-v1+1_2018_Benedikter_Dirac.pdf"}],"scopus_import":"1","has_accepted_license":"1","article_processing_charge":"No","day":"01","citation":{"chicago":"Benedikter, Niels P, Jérémy Sok, and Jan Solovej. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare. Birkhäuser, 2018. https://doi.org/10.1007/s00023-018-0644-z.","short":"N.P. Benedikter, J. Sok, J. Solovej, Annales Henri Poincare 19 (2018) 1167–1214.","mla":"Benedikter, Niels P., et al. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare, vol. 19, no. 4, Birkhäuser, 2018, pp. 1167–214, doi:10.1007/s00023-018-0644-z.","apa":"Benedikter, N. P., Sok, J., & Solovej, J. (2018). The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. Birkhäuser. https://doi.org/10.1007/s00023-018-0644-z","ieee":"N. P. Benedikter, J. Sok, and J. Solovej, “The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations,” Annales Henri Poincare, vol. 19, no. 4. Birkhäuser, pp. 1167–1214, 2018.","ista":"Benedikter NP, Sok J, Solovej J. 2018. The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. 19(4), 1167–1214.","ama":"Benedikter NP, Sok J, Solovej J. The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. 2018;19(4):1167-1214. doi:10.1007/s00023-018-0644-z"},"publication":"Annales Henri Poincare","page":"1167 - 1214","date_published":"2018-04-01T00:00:00Z","publist_id":"7367","file_date_updated":"2020-07-14T12:46:31Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). The authors acknowledge support by ERC Advanced Grant 321029 and by VILLUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059). The authors would like to thank Sébastien Breteaux, Enno Lenzmann, Mathieu Lewin and Jochen Schmid for comments and discussions about well-posedness of the Bogoliubov–de Gennes equations.","year":"2018","publisher":"Birkhäuser","department":[{"_id":"RoSe"}],"publication_status":"published","author":[{"id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091","first_name":"Niels P","last_name":"Benedikter","full_name":"Benedikter, Niels P"},{"full_name":"Sok, Jérémy","first_name":"Jérémy","last_name":"Sok"},{"first_name":"Jan","last_name":"Solovej","full_name":"Solovej, Jan"}],"volume":19,"date_updated":"2023-09-19T10:07:41Z","date_created":"2018-12-11T11:46:34Z","month":"04","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","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"external_id":{"isi":["000427578900006"]},"quality_controlled":"1","isi":1,"doi":"10.1007/s00023-018-0644-z","language":[{"iso":"eng"}]},{"abstract":[{"text":"We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at most Z + C electrons, where C is a universal constant. This result is obtained through a comparison with Thomas-Fermi theory which, as a by-product, gives bounds on the screened nuclear potential and the radius of the minimizer. A key ingredient of the proof is a novel technique to control the particles in the exterior region, which also applies to the liquid drop model with a nuclear background potential.","lang":"eng"}],"issue":"3","type":"journal_article","oa_version":"Preprint","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"446","title":"The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory","status":"public","intvolume":" 71","day":"01","article_processing_charge":"No","date_published":"2018-03-01T00:00:00Z","publication":"Communications on Pure and Applied Mathematics","citation":{"chicago":"Frank, Rupert, Phan Nam, and Hanne Van Den Bosch. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2018. https://doi.org/10.1002/cpa.21717.","short":"R. Frank, P. Nam, H. Van Den Bosch, Communications on Pure and Applied Mathematics 71 (2018) 577–614.","mla":"Frank, Rupert, et al. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics, vol. 71, no. 3, Wiley-Blackwell, 2018, pp. 577–614, doi:10.1002/cpa.21717.","apa":"Frank, R., Nam, P., & Van Den Bosch, H. (2018). The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. Wiley-Blackwell. https://doi.org/10.1002/cpa.21717","ieee":"R. Frank, P. Nam, and H. Van Den Bosch, “The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory,” Communications on Pure and Applied Mathematics, vol. 71, no. 3. Wiley-Blackwell, pp. 577–614, 2018.","ista":"Frank R, Nam P, Van Den Bosch H. 2018. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. 71(3), 577–614.","ama":"Frank R, Nam P, Van Den Bosch H. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. 2018;71(3):577-614. doi:10.1002/cpa.21717"},"article_type":"original","page":"577 - 614","publist_id":"7377","author":[{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert"},{"full_name":"Phan Thanh, Nam","first_name":"Nam","last_name":"Phan Thanh","id":"404092F4-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Van Den Bosch, Hanne","last_name":"Van Den Bosch","first_name":"Hanne"}],"date_updated":"2023-09-19T10:09:40Z","date_created":"2018-12-11T11:46:31Z","volume":71,"acknowledgement":"We thank the referee for helpful suggestions that improved the presentation of the paper. We also acknowledge partial support by National Science Foundation Grant DMS-1363432 (R.L.F.), Austrian Science Fund (FWF) Project Nr. P 27533-N27 (P.T.N.), CONICYT (Chile) through CONICYT–PCHA/ Doctorado Nacional/2014, and Iniciativa Científica Milenio (Chile) through Millenium Nucleus RC–120002 “Física Matemática” (H.V.D.B.).\r\n","year":"2018","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Wiley-Blackwell","month":"03","doi":"10.1002/cpa.21717","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1606.07355"}],"oa":1,"external_id":{"arxiv":["1606.07355"],"isi":["000422675800004"]},"isi":1,"quality_controlled":"1"}]