Stationary phase method in infinite dimensions by finite dimensional approximations: Applications to the Schrödinger equation (Q1904126)
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scientific article; zbMATH DE number 826837
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stationary phase method in infinite dimensions by finite dimensional approximations: Applications to the Schrödinger equation |
scientific article; zbMATH DE number 826837 |
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Stationary phase method in infinite dimensions by finite dimensional approximations: Applications to the Schrödinger equation (English)
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1 February 1996
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The authors continue their work on developing an approach by finite dimensional approximations for the study of infinite-dimensional oscillatory integrals and the relative method of stationary phase. Here the previous results are extended in several directions. In particular, the asymptotic expansions in both non-degenerate and degenerate cases are described in details. As an application a detailed asymptotic expansion in Planck's constant for the Schrödinger equation is derived.
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approximations
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infinite-dimensional oscillatory integrals
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stationary phase
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Schrödinger equation
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