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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 119, Number 3, Pages 368–380
DOI: https://doi.org/10.4213/tmf745
(Mi tmf745)
 

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
References:
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
English version:
Theoretical and Mathematical Physics, 1999, Volume 119, Issue 3, Pages 687–697
DOI: https://doi.org/10.1007/BF02557379
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\paper Gauge-periodic point perturbations on the Lobachevsky plane
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\jour Theoret. and Math. Phys.
\yr 1999
\vol 119
\issue 3
\pages 687--697
\crossref{https://doi.org/10.1007/BF02557379}
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  • https://doi.org/10.4213/tmf745
  • https://www.mathnet.ru/eng/tmf/v119/i3/p368
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:69
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