Discrete spectrum of the perturbed Dirac operator

Mikhail Sh. Birman; Ari Laptev

doi:10.1007/BF02559521

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Home > Journals > Ark. Mat. > Volume 32 > Issue 1 > Article

March 1994 Discrete spectrum of the perturbed Dirac operator

Mikhail Sh. Birman, Ari Laptev

Author Affiliations +

Mikhail Sh. Birman,¹ Ari Laptev²
¹Department of Physics, St. Petersburgh University
²Department of Mathematics, Royal Institute of Technology

Ark. Mat. 32(1): 13-32 (March 1994). DOI: 10.1007/BF02559521

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Abstract

In this paper we study the asymptotics of the discrete spectrum in the gap (−1, 1) of the perturbed Dirac operator D(α)=D₀−αV1 acting in L₂(R³; C⁴) with large coupling constant α. In particular some “non-standard” asymptotic formulae are obtained.

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Mikhail Sh. Birman. Ari Laptev. "Discrete spectrum of the perturbed Dirac operator." Ark. Mat. 32 (1) 13 - 32, March 1994. https://doi.org/10.1007/BF02559521