Discrete spectrum of the perturbed Dirac operator |
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| Authors: | Mikhail Sh Birman Ari Laptev |
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| Institution: | (1) Department of Physics, St. Petersburgh University, Ulyanov str. 1, 198904 St. Petersburg, Russia;(2) Department of Mathematics, Royal Institute of Technology, S-100 44 Stockholm, Sweden |
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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 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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| Keywords: | |
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