Some comparison theorems on eigenvalues for one dimensional Schrödinger operators with applications (Q847021)
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scientific article; zbMATH DE number 5668461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some comparison theorems on eigenvalues for one dimensional Schrödinger operators with applications |
scientific article; zbMATH DE number 5668461 |
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Some comparison theorems on eigenvalues for one dimensional Schrödinger operators with applications (English)
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10 February 2010
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Summary: For one dimensional Schrödinger operators, in terms of local behavior of the potential, we give some comparison theorems for their eigenvalues. As an application, some monotone properties of the first eigenvalue of stepfunction potentials are given.
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one dimensional Schrödinger operator
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comparison theorems on eigenvalues
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stepfunction potentials
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monotonicity
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variational methods
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