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A class of time periodic Hamiltonians with no bound states

Published online by Cambridge University Press:  14 November 2011

H. Kaneta
H. Kaneta
Affiliation:
Department of Mathematics, Faculty of Science, Okayama University, Okayama 700, Japan
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Synopsis

We generalise the Paley–Wiener closedness theorem and apply it to a class of time periodic Hamiltonians to show that all solutions to the corresponding Schrodinger equation decay.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 105 , Issue 1 , 1987 , pp. 37 - 42
Copyright
Copyright © Royal Society of Edinburgh 1987

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