[{"type":"journal_article","issue":"12","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","file":[{"creator":"dernst","content_type":"application/pdf","file_size":1025015,"file_name":"2019_JournalMathPhysics_Jaksic.pdf","access_level":"open_access","date_updated":"2020-07-14T12:47:54Z","date_created":"2020-01-07T14:59:13Z","checksum":"bbd12ad1999a9ad7ba4d3c6f2e579c22","file_id":"7244","relation":"main_file"}],"oa_version":"Published Version","scopus_import":"1","day":"01","has_accepted_license":"1","article_processing_charge":"No","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.","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.","short":"V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (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.","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.","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"},"date_published":"2019-12-01T00:00:00Z","article_number":"123504","file_date_updated":"2020-07-14T12:47:54Z","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"AIP Publishing","year":"2019","date_created":"2020-01-05T23:00:46Z","date_updated":"2024-02-28T13:01:45Z","volume":60,"author":[{"full_name":"Jaksic, Vojkan","last_name":"Jaksic","first_name":"Vojkan"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"month":"12","publication_identifier":{"issn":["00222488"]},"quality_controlled":"1","isi":1,"external_id":{"isi":["000505529800002"]},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1063/1.5138135"},{"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"American Physical Society","year":"2019","date_created":"2019-11-13T08:41:48Z","date_updated":"2024-02-28T13:13:23Z","volume":100,"author":[{"full_name":"Lewin, Mathieu","first_name":"Mathieu","last_name":"Lewin"},{"first_name":"Elliott H.","last_name":"Lieb","full_name":"Lieb, Elliott H."},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"article_number":"035127","ec_funded":1,"quality_controlled":"1","isi":1,"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1905.09138"}],"oa":1,"external_id":{"isi":["000477888200001"],"arxiv":["1905.09138"]},"language":[{"iso":"eng"}],"doi":"10.1103/physrevb.100.035127","month":"07","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"title":"Floating Wigner crystal with no boundary charge fluctuations","status":"public","intvolume":" 100","_id":"7015","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","type":"journal_article","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"}],"issue":"3","article_type":"original","publication":"Physical Review B","citation":{"ista":"Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 100(3), 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.","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","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","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.","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.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019)."},"date_published":"2019-07-25T00:00:00Z","scopus_import":"1","day":"25","article_processing_charge":"No"},{"date_updated":"2021-01-12T06:48:16Z","date_created":"2018-12-11T11:44:08Z","volume":270,"author":[{"orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","first_name":"Nikolai K","full_name":"Leopold, Nikolai K"},{"full_name":"Pickl, Peter","first_name":"Peter","last_name":"Pickl"}],"publication_status":"published","publisher":"Springer","department":[{"_id":"RoSe"}],"year":"2018","ec_funded":1,"publist_id":"8045","language":[{"iso":"eng"}],"conference":{"name":"MaLiQS: Macroscopic Limits of Quantum Systems","start_date":"2017-03-30","location":"Munich, Germany","end_date":"2017-04-01"},"doi":"10.1007/978-3-030-01602-9_9","quality_controlled":"1","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"external_id":{"arxiv":["1806.10843"]},"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1806.10843"}],"month":"10","oa_version":"Preprint","status":"public","title":"Mean-field limits of particles in interaction with quantised radiation fields","intvolume":" 270","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"11","abstract":[{"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.","lang":"eng"}],"type":"conference","date_published":"2018-10-27T00:00:00Z","page":"185 - 214","citation":{"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","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.","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.","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.","short":"N.K. Leopold, P. Pickl, in:, Springer, 2018, pp. 185–214.","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."},"day":"27","scopus_import":1},{"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","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.","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","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.","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, Communications in Mathematical Physics 360 (2018) 347–403.","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.","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","scopus_import":1,"day":"01","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","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","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1511.05953","open_access":"1"}],"external_id":{"arxiv":["1511.05953"]},"quality_controlled":"1","project":[{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"doi":"10.1007/s00220-017-3064-x","language":[{"iso":"eng"}],"month":"05","publication_identifier":{"issn":["00103616"]},"year":"2018","publication_status":"published","publisher":"Springer","department":[{"_id":"RoSe"}],"author":[{"full_name":"Napiórkowski, Marcin M","first_name":"Marcin M","last_name":"Napiórkowski","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Reuvers, Robin","first_name":"Robin","last_name":"Reuvers"},{"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,"publist_id":"7260"},{"publication_status":"published","publisher":"IOP Publishing Ltd.","department":[{"_id":"RoSe"}],"year":"2018","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).","date_updated":"2023-09-08T13:30:51Z","date_created":"2018-12-11T11:46:15Z","volume":121,"author":[{"last_name":"Napiórkowski","first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","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"}],"article_number":"10007","publist_id":"7432","isi":1,"quality_controlled":"1","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27"}],"external_id":{"isi":["000460003000003"],"arxiv":["1706.01822"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1706.01822"}],"oa":1,"language":[{"iso":"eng"}],"doi":"10.1209/0295-5075/121/10007","month":"01","status":"public","title":"Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation","intvolume":" 121","_id":"399","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Preprint","type":"journal_article","abstract":[{"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.","lang":"eng"}],"issue":"1","article_type":"original","publication":"EPL","citation":{"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.","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.","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, EPL 121 (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.","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.","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","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"},"date_published":"2018-01-01T00:00:00Z","scopus_import":"1","day":"01","article_processing_charge":"No"}]