Scattering theory for general, non-local interactions: Threshold behavior and sum rules (Q1100634)
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scientific article; zbMATH DE number 4044349
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Scattering theory for general, non-local interactions: Threshold behavior and sum rules |
scientific article; zbMATH DE number 4044349 |
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Scattering theory for general, non-local interactions: Threshold behavior and sum rules (English)
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1986
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Scattering theory is discussed for Schrödinger Hamiltonians with general, not necessarily separable, non-local interactions without assuming spherical symmetry. The possibility of zero-energy eigenstates is explicitly taken into account. Low-energy expansions are obtained for the scattering amplitude in the different cases. The scattering length and effective range parameter are directly derived from the threshold behavior of the scattering amplitude. Spectral sum rules, generalizing Levinson's theorem, are given.
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Scattering theory
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Schrödinger Hamiltonians
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non-local interactions
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zero-energy eigenstates
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Low-energy expansions
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scattering amplitude
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scattering length
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range parameter
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Levinson's theorem
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