[{"citation":{"chicago":"Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.” <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing Ltd., 2003. <a href=\"https://doi.org/10.1088/0305-4470/36/37/312\">https://doi.org/10.1088/0305-4470/36/37/312</a>.","ieee":"R. Seiringer, “Ground state asymptotics of a dilute, rotating gas,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 36, no. 37. IOP Publishing Ltd., pp. 9755–9778, 2003.","mla":"Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 36, no. 37, IOP Publishing Ltd., 2003, pp. 9755–78, doi:<a href=\"https://doi.org/10.1088/0305-4470/36/37/312\">10.1088/0305-4470/36/37/312</a>.","ista":"Seiringer R. 2003. Ground state asymptotics of a dilute, rotating gas. Journal of Physics A: Mathematical and Theoretical. 36(37), 9755–9778.","short":"R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003) 9755–9778.","ama":"Seiringer R. Ground state asymptotics of a dilute, rotating gas. <i>Journal of Physics A: Mathematical and Theoretical</i>. 2003;36(37):9755-9778. doi:<a href=\"https://doi.org/10.1088/0305-4470/36/37/312\">10.1088/0305-4470/36/37/312</a>","apa":"Seiringer, R. (2003). Ground state asymptotics of a dilute, rotating gas. <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing Ltd. <a href=\"https://doi.org/10.1088/0305-4470/36/37/312\">https://doi.org/10.1088/0305-4470/36/37/312</a>"},"main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.math-ph/0306022"}],"date_created":"2018-12-11T11:57:10Z","extern":"1","title":"Ground state asymptotics of a dilute, rotating gas","quality_controlled":"1","_id":"2354","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","OA_place":"repository","publication_identifier":{"issn":["0305-4470"]},"publist_id":"4572","external_id":{"arxiv":["0306022"]},"arxiv":1,"year":"2003","intvolume":"        36","month":"09","publication_status":"published","scopus_import":"1","article_type":"original","oa":1,"publisher":"IOP Publishing Ltd.","author":[{"full_name":"Seiringer, Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"type":"journal_article","date_updated":"2026-05-28T11:27:05Z","day":"19","language":[{"iso":"eng"}],"date_published":"2003-09-19T00:00:00Z","OA_type":"green","page":"9755 - 9778","doi":"10.1088/0305-4470/36/37/312","article_processing_charge":"No","volume":36,"oa_version":"Preprint","abstract":[{"text":"We investigate the ground state properties of a gas of interacting particles confined in an external potential in three dimensions and subject to rotation around an axis of symmetry. We consider the Gross-Pitaevskii (GP) limit of a dilute gas. Analysing both the absolute and the bosonic ground states of the system, we show, in particular, their different behaviour for a certain range of parameters. This parameter range is determined by the question whether the rotational symmetry in the minimizer of the GP functional is broken or not. For the absolute ground state, we prove that in the GP limit a modified GP functional depending on density matrices correctly describes the energy and reduced density matrices, independent of symmetry breaking. For the bosonic ground state this holds true if and only if the symmetry is unbroken.","lang":"eng"}],"status":"public","issue":"37","publication":"Journal of Physics A: Mathematical and Theoretical"},{"_id":"2345","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication_identifier":{"issn":["0305-4470"]},"publist_id":"4580","citation":{"mla":"Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic Fields.” <i>Journal of Physics A: Mathematical and General</i>, vol. 34, no. 9, IOP Publishing Ltd., 2001, pp. 1943–48, doi:<a href=\"https://doi.org/10.1088/0305-4470/34/9/311\">10.1088/0305-4470/34/9/311</a>.","ieee":"R. Seiringer, “On the maximal ionization of atoms in strong magnetic fields,” <i>Journal of Physics A: Mathematical and General</i>, vol. 34, no. 9. IOP Publishing Ltd., pp. 1943–1948, 2001.","chicago":"Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic Fields.” <i>Journal of Physics A: Mathematical and General</i>. IOP Publishing Ltd., 2001. <a href=\"https://doi.org/10.1088/0305-4470/34/9/311\">https://doi.org/10.1088/0305-4470/34/9/311</a>.","apa":"Seiringer, R. (2001). On the maximal ionization of atoms in strong magnetic fields. <i>Journal of Physics A: Mathematical and General</i>. IOP Publishing Ltd. <a href=\"https://doi.org/10.1088/0305-4470/34/9/311\">https://doi.org/10.1088/0305-4470/34/9/311</a>","ama":"Seiringer R. On the maximal ionization of atoms in strong magnetic fields. <i>Journal of Physics A: Mathematical and General</i>. 2001;34(9):1943-1948. doi:<a href=\"https://doi.org/10.1088/0305-4470/34/9/311\">10.1088/0305-4470/34/9/311</a>","short":"R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.","ista":"Seiringer R. 2001. On the maximal ionization of atoms in strong magnetic fields. Journal of Physics A: Mathematical and General. 34(9), 1943–1948."},"extern":"1","date_created":"2018-12-11T11:57:07Z","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0006002"}],"quality_controlled":"1","title":"On the maximal ionization of atoms in strong magnetic fields","month":"03","publication_status":"published","oa":1,"article_type":"original","scopus_import":"1","year":"2001","external_id":{"arxiv":["math-ph/0006002"]},"arxiv":1,"intvolume":"        34","date_updated":"2023-05-30T12:37:44Z","day":"09","author":[{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"publisher":"IOP Publishing Ltd.","type":"journal_article","oa_version":"None","status":"public","abstract":[{"text":"We give upper bounds for the number of spin-1/2 particles that can be bound to a nucleus of charge Z in the presence of a magnetic field B, including the spin-field coupling. We use Lieb's strategy, which is known to yield Nc &lt; 2Z + 1 for magnetic fields that go to zero at infinity, ignoring the spin-field interaction. For particles with fermionic statistics in a homogeneous magnetic field our upper bound has an additional term of the order of Z × min {(B/Z3)2/5, 1 + | 1n(B/Z3)|2}.","lang":"eng"}],"publication":"Journal of Physics A: Mathematical and General","issue":"9","language":[{"iso":"eng"}],"date_published":"2001-03-09T00:00:00Z","doi":"10.1088/0305-4470/34/9/311","article_processing_charge":"No","page":"1943 - 1948","volume":34}]