The semi-classical asymptotics of the total cross sections for elastic scattering for \(N\)-body systems (Q1326743)
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scientific article; zbMATH DE number 584587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The semi-classical asymptotics of the total cross sections for elastic scattering for \(N\)-body systems |
scientific article; zbMATH DE number 584587 |
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The semi-classical asymptotics of the total cross sections for elastic scattering for \(N\)-body systems (English)
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8 June 1994
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The dominant behaviour in a semiclassical parameter of the cross section for elastic scattering is determined. The model is a Schrödinger operator given by a perturbation of the semiclassical Laplacian by short- range potentials of \(N\)-body type where \(N \geq 3\). This article completes the discussion in [\textit{H. T. Ito}, \textit{H. Tamura}, ibid. 32, 533-555 (1992; Zbl 0769.35045)] and shows that the elastic cross section dominates the inelastic ones in the semiclassical regime.
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Schrödinger operator
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semiclassical Laplacian
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elastic cross section
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