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Discrete spectrum of the perturbed Dirac operator

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Arkiv för Matematik

Abstract

In this paper we study the asymptotics of the discrete spectrum in the gap (−1, 1) of the perturbed Dirac operatorD(α)=D 0−αV1 acting inL 2(R 3;C 4) with large coupling constant α. In particular some “non-standard” asymptotic formulae are obtained.

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Authors and Affiliations

  1. Department of Physics, St. Petersburgh University, Ulyanov str. 1, 198904, St. Petersburg, Russia

    Mikhail Sh. Birman

  2. Department of Mathematics, Royal Institute of Technology, S-100 44, Stockholm, Sweden

    Ari Laptev

Authors
  1. Mikhail Sh. Birman
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  2. Ari Laptev
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Birman, M.S., Laptev, A. Discrete spectrum of the perturbed Dirac operator. Ark. Mat. 32, 13–32 (1994). https://doi.org/10.1007/BF02559521

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  • DOI: https://doi.org/10.1007/BF02559521

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