Eigenvalue bounds for two-dimensional magnetic Schrödinger operators (Q656195)
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| English | Eigenvalue bounds for two-dimensional magnetic Schrödinger operators |
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Eigenvalue bounds for two-dimensional magnetic Schrödinger operators (English)
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16 January 2012
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Summary: We prove that the number of negative eigenvalues of two-dimensional magnetic Schrödinger operators is bounded from above by the strength of the corresponding electric potential. Such estimates fail in the absence of a magnetic field. We also show how the corresponding upper bounds depend on the properties of the magnetic field and discuss their connection with Hardy-type inequalities.
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eigenvalue estimates
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magnetic Schrödinger operator
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Hardy inequalities
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