Spectral theory of time-periodic many-body systems (Q1882958)
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scientific article; zbMATH DE number 2105310
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral theory of time-periodic many-body systems |
scientific article; zbMATH DE number 2105310 |
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Spectral theory of time-periodic many-body systems (English)
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1 October 2004
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In the framework of the Floquet theory, the authors establish certain spectral results for the monodromy operator for an \(N\)-body quantum system in a periodic external field with zero mean. Such a system includes AC-Stark and circularly polarized fields and pair potentials with a local singularity up to and including the Coulomb case. These results include exponential decay estimates on non-threshold eigenfunctions and the second-order perturbation theory for embedded eigenvalues.
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many-body, AC-Stark
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Mourre theory
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limiting absorption
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