Spectral properties of the Schrödinger operator with \(\delta\)-distribution (Q509067)
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scientific article; zbMATH DE number 6682155
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral properties of the Schrödinger operator with \(\delta\)-distribution |
scientific article; zbMATH DE number 6682155 |
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Spectral properties of the Schrödinger operator with \(\delta\)-distribution (English)
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8 February 2017
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The author investigates the one-dimensional Schrödinger operator with the purpose of establishing a criteria for the resolvent to belong to a given set of continuous operators. Such operators show up when the motion of neutrons in liquid media is studied. The two-sided estimates of the distribution function of the eigenvalues are obtained, resulting in a criteria for the discreteness of the spectrum for the Otelbaev function.
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Schrödinger operators
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Otelbaev function
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distribution functions of eigenvalues
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