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Asymptotic Distribution of Eigenvalues for Schrödinger Operators with Magnetic Fields

Published online by Cambridge University Press:  22 January 2016

Hideo Tamura
Hideo Tamura*
Affiliation:
Department of Applied Physics, Nagoya University Chikusa-ku, Nagoya 464, Japan
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The asymptotic distribution of eigenvalues has been studied by many authors for the Schrõdinger operators —Δ+V with scalar potential growing unboundedly at infinity. Let N(λ) be the number of eigenvalues less than λ of —Δ + V on L2Rnx). Under suitable assumptions on V(x), N(λ) obeys the following asymptotic formula:

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 105 , March 1987 , pp. 49 - 69
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1987

References

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