Distribution of poles for scattering on the real line (Q1113349)
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scientific article; zbMATH DE number 4082005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distribution of poles for scattering on the real line |
scientific article; zbMATH DE number 4082005 |
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Distribution of poles for scattering on the real line (English)
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1987
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The density of scattering poles is shown to be proportional to the length of the convex hull of the support of the potential. In the case of a potential with finite singularities at the endpoints of the support, asymptotic formulae for the poles are given, while in the \(C^{\infty}_0\) case, an example of a potential with infinitely many scattering poles on \({\mathbb{R}}\) is constructed. The scattering amplitude of a compactly supported potential is also characterized.
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density of scattering poles
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potential
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