Relativistic scattering theory for long-range potentials of nonelectrostatic type (Q1101896)
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scientific article; zbMATH DE number 4048246
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relativistic scattering theory for long-range potentials of nonelectrostatic type |
scientific article; zbMATH DE number 4048246 |
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Relativistic scattering theory for long-range potentials of nonelectrostatic type (English)
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1986
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We define a modified free-time evolution for the Dirac equation with long-range potentials \(\beta\) (1/\(| x|)\), where \(\beta\) is the Dirac matrix, and prove a strong asymptotic completeness of the corresponding wave operators. Our methods also work for the magnetic fields \(\alpha\cdot A(x)\).
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free-time evolution
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Dirac equation
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long-range potentials
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asymptotic completeness
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wave operators
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magnetic fields
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