A trace theorem for time-periodic Hamiltonian operators (Q1263054)
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scientific article; zbMATH DE number 4126104
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A trace theorem for time-periodic Hamiltonian operators |
scientific article; zbMATH DE number 4126104 |
Statements
A trace theorem for time-periodic Hamiltonian operators (English)
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1989
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Let \(H_ 1(t)\) and \(H_ 2(t)\) be selfadjoint, both \(\omega\)-periodic in t. The wave operators connecting such a pair via an identification operator J exist if the trace norm of \(H_ 1(t)J-JH_ 2(t)\) is integrable over a period. Sufficient conditions for the completeness of wave operators are given.
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identification operator
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trace norm
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completeness of wave operators
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