Perturbation of embedded eigenvalues in the generalized N-body problem (Q1118105)
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scientific article; zbMATH DE number 4094056
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation of embedded eigenvalues in the generalized N-body problem |
scientific article; zbMATH DE number 4094056 |
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Perturbation of embedded eigenvalues in the generalized N-body problem (English)
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1989
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In this very interesting paper, the authors show that embedded eigenvalues in the continuous spectrum of N-body Schrödinger operator are instable: generically (in Baire category sense) a small perturbation removes these eigenvalues in accordance with the Fermi golden rule. The main and non trivial point here is that no analyticity assumptions are made.
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embedded eigenvalues
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continuous spectrum
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N-body Schrödinger operator
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instable
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small perturbation
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Fermi golden rule
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