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Matematicheskie Zametki, 1973, Volume 14, Issue 6, Pages 843–852 (Mi mzm7303)  

The distribution of eigenvalues of the Dirac operator

M. Otelbaev

Moscow State University
Abstract: The Dirac system is studied on $(-\infty, \infty)$. Asymptotic formulas are obtained of the distribution for both positive, and negative eigenvalues. The asymptotic formulas, established in Theorem 1, are essentially different from formulas obtained by Sargsyan [1], and permit asymptotic formulas to be written for the distribution of positive (negative) eigenvalues, even in those cases when the negative (positive) spectrum is continuous, if appropriate conditions hold on the potential.
Received: 25.03.1972
English version:
Mathematical Notes, 1973, Volume 14, Issue 6, Pages 1043–1048
DOI: https://doi.org/10.1007/BF01099589
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: M. Otelbaev, “The distribution of eigenvalues of the Dirac operator”, Mat. Zametki, 14:6 (1973), 843–852; Math. Notes, 14:6 (1973), 1043–1048
Citation in format AMSBIB
\Bibitem{Ote73}
\by M.~Otelbaev
\paper The distribution of eigenvalues of the Dirac operator
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 6
\pages 843--852
\mathnet{http://mi.mathnet.ru/mzm7303}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=333330}
\zmath{https://zbmath.org/?q=an:0292.34021}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 6
\pages 1043--1048
\crossref{https://doi.org/10.1007/BF01099589}
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