Scattering theory for time-dependent Hamiltonians asymptotically constant in time (Q1075503)
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scientific article; zbMATH DE number 3951090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Scattering theory for time-dependent Hamiltonians asymptotically constant in time |
scientific article; zbMATH DE number 3951090 |
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Scattering theory for time-dependent Hamiltonians asymptotically constant in time (English)
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1985
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Unitarity of wave operators for the Schrödinger operators with time- dependent external electromagnetic field decaying asymptotically in space and time is proved. It represented some extension of previous results to include strong local singularities in electromagnetic field and uses a technique of uniform bounds for energy expectation values of semibound, time-dependent Hamiltonian. The results are applied to analyse the concept of photoionisation probability and its relations with geometrically characterized bound and scattering states.
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scattering theory
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wave operators
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Schrödinger operators
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strong local singularities
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photoionisation probability
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