Simon, Barry (1982) Continuity of the density of states in a magnetic field. Journal of Physics A: Mathematical and General, 15 (9). pp. 2981-2983. ISSN 0305-4470. doi:10.1088/0305-4470/15/9/043. https://resolver.caltech.edu/CaltechAUTHORS:20120717-114851010
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Abstract
Fix a periodic potential, V, and let k(E,B) be the integrated density of states up to energy E in a constant magnetic field B. We prove that k(E,B) is continuous in B at all points where it is continuous in E. We prove a similar result when V is zero and B is a multiple of a periodic magnetic field.
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| Additional Information: | © 1982 The Institute of Physics. Received 22 March 1982. It is a pleasure to thank S Novikov for raising the questions answered here, and D Thouless for a valuable discussion. Research partially supported by USNSF Grant MCS 78-01885. | |||||||||
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| Subject Keywords: | Mathematical physics; Quantum information and quantum mechanics | |||||||||
| Issue or Number: | 9 | |||||||||
| Classification Code: | PACS: 02.30.Cj, 03.65.-w, 02.30.Tb. MSC: 81S40; 58D30 | |||||||||
| DOI: | 10.1088/0305-4470/15/9/043 | |||||||||
| Record Number: | CaltechAUTHORS:20120717-114851010 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120717-114851010 | |||||||||
| Official Citation: | Continuity of the density of states in a magnetic field B Simon 1982 J. Phys. A: Math. Gen. 15 2981 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 32517 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 17 Jul 2012 20:12 | |||||||||
| Last Modified: | 12 Jul 2022 19:44 |
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