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Gauge-periodic point perturbations on the Lobachevsky plane

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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 K0 group of aC * algebra associated with the operator. In particular, if theC * algebra has the Kadison property, then the operator spectrum has a band structure.

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Authors and Affiliations

  1. Institute für Mathematik, Humboldt-Universität, Berlin, BRD

    J. Brüning

  2. Mordvinian State University, Saransk, Russia

    V. A. Geiler

Authors
  1. J. Brüning
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  2. V. A. Geiler
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Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 119, Noo 3, pp. 368–380, June, 1999.

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Brüning, J., Geiler, V.A. Gauge-periodic point perturbations on the Lobachevsky plane. Theor Math Phys 119, 687–697 (1999). https://doi.org/10.1007/BF02557379

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  • DOI: https://doi.org/10.1007/BF02557379

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