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This article is cited in 15 scientific papers (total in 15 papers)
Gauge-periodic point perturbations on the Lobachevsky plane
J. Brüninga, V. A. Geilerb a Humboldt University
b Mordovian State University
Abstract:
We study periodic point perturbations of the Shrödinger operator with a uniform magnetic field on the Lobachevsky plane. We prove that the spectrum gaps of the perturbed operator are labeled by the elements of the $K_0$ group of a $C^*$ algebra associated with the operator. In particular, if the $C^*$ algebra has the Kadison property, then the operator spectrum has a band structure.
Received: 23.07.1998 Revised: 15.01.1999
Citation:
J. Brüning, V. A. Geiler, “Gauge-periodic point perturbations on the Lobachevsky plane”, TMF, 119:3 (1999), 368–380; Theoret. and Math. Phys., 119:3 (1999), 687–697
Linking options:
https://www.mathnet.ru/eng/tmf745https://doi.org/10.4213/tmf745 https://www.mathnet.ru/eng/tmf/v119/i3/p368
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Abstract page: | 366 | Full-text PDF : | 199 | References: | 69 | First page: | 1 |
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