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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
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
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https://www.mathnet.ru/eng/mzm7303 https://www.mathnet.ru/eng/mzm/v14/i6/p843
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Abstract page: | 453 | Full-text PDF : | 167 | First page: | 1 |
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