{"publication":"Journal of Physics A: Mathematical and General","doi":"10.1088/0305-4470/34/9/311","title":"On the maximal ionization of atoms in strong magnetic fields","author":[{"orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"type":"journal_article","month":"03","year":"2001","date_published":"2001-03-09T00:00:00Z","status":"public","citation":{"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.","apa":"Seiringer, R. (2001). On the maximal ionization of atoms in strong magnetic fields. Journal of Physics A: Mathematical and General. IOP Publishing Ltd. https://doi.org/10.1088/0305-4470/34/9/311","ama":"Seiringer R. On the maximal ionization of atoms in strong magnetic fields. Journal of Physics A: Mathematical and General. 2001;34(9):1943-1948. doi:10.1088/0305-4470/34/9/311","chicago":"Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic Fields.” Journal of Physics A: Mathematical and General. IOP Publishing Ltd., 2001. https://doi.org/10.1088/0305-4470/34/9/311.","mla":"Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic Fields.” Journal of Physics A: Mathematical and General, vol. 34, no. 9, IOP Publishing Ltd., 2001, pp. 1943–48, doi:10.1088/0305-4470/34/9/311.","ieee":"R. Seiringer, “On the maximal ionization of atoms in strong magnetic fields,” Journal of Physics A: Mathematical and General, vol. 34, no. 9. IOP Publishing Ltd., pp. 1943–1948, 2001."},"intvolume":" 34","abstract":[{"lang":"eng","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 < 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}."}],"page":"1943 - 1948","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0006002"}],"publist_id":"4580","issue":"9","quality_controlled":0,"volume":34,"publication_status":"published","day":"09","date_created":"2018-12-11T11:57:07Z","publisher":"IOP Publishing Ltd.","extern":1,"_id":"2345","oa":1,"date_updated":"2021-01-12T06:56:55Z"}