A study of the Lippmann-Schwinger equation and spectra for some unbounded quantum potentials (Q812506)
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scientific article; zbMATH DE number 5001012
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A study of the Lippmann-Schwinger equation and spectra for some unbounded quantum potentials |
scientific article; zbMATH DE number 5001012 |
Statements
A study of the Lippmann-Schwinger equation and spectra for some unbounded quantum potentials (English)
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24 January 2006
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The author studies the Lippmann-Schwinger integral equation containing certain model potentials on \(\mathbb R^3\). The case of weak sense solutions is investigated. The corresponding compactness and Hilbert-Schmidt properties of the operators are established. The results are applied to study the spectrum of the Schrödinger equation.
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singular integral equations
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Hilbert-Schmidt operator
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Schrödinger operator
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Schrödinger equation
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Lippmann-Schwinger integral equation
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weak sense solutions
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