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Mourre theory for time-periodic systems

Published online by Cambridge University Press:  22 January 2016

Koichiro Yokoyama
Koichiro Yokoyama*
Affiliation:
Department of Mathematics, Osaka University, Toyonaka 560-0043, Japan, yokoyama@math.sci.osaka-u.ac.jp
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Abstract.

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Studies for A.C. Stark Hamiltonian are closely related to that for the self-adjoint operator on torus. In this paper we use Mourre’s commutator method, which makes great progress for the study of time-independent Hamiltonian. By use of it we show the asymptotic behavior of the unitary propagator as σ → ± ∞.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 149 , March 1998 , pp. 193 - 210
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1998

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