On a certain semiclassical problem on Wiener spaces (Q1425475)
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scientific article; zbMATH DE number 2061201
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a certain semiclassical problem on Wiener spaces |
scientific article; zbMATH DE number 2061201 |
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On a certain semiclassical problem on Wiener spaces (English)
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21 March 2004
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Summary: We study asymptotic behavior of the spectrum of a Schrödinger type operator \(L_V^\lambda= L-\lambda^2V\) on the Wiener space as \(\lambda\to\infty\). Here \(L\) denotes the Ornstein-Uhlenbeck operator and \(V\) is a nonnegative potential function which has finitely many zero points. For some classes of potential functions, we determine the divergence order of the lowest eigenvalue. Also tunneling effect is studied.
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