Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits (Q1112245)
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scientific article; zbMATH DE number 4077820
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits |
scientific article; zbMATH DE number 4077820 |
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Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits (English)
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1989
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We study the semi-classical asymptotic behavior as \(h\to 0\) of scattering amplitudes for Schrödinger operators \(-()h^ 2\Delta +V.\) The asymptotic formula is obtained for energies fixed in a non-trapping energy range and also is applied to study the low energy behavior of scattering amplitudes for a certain class of slowly decreasing repulsive potentials without spherical symmetry.
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semi-classical asymptotic behavior
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scattering amplitudes
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Schrödinger operators
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non-trapping energy range
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low energy behavior
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