Mourre theory for time-periodic magnetic fields

We study the Mourre theory for the Floquet Hamiltonian Hˆ=−i∂t+H(t) generated by the time-periodic Hamiltonian H(t) with H(t+T)=H(t) which describes the Schrödinger equations with general time-periodic magnetic fields.

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Bibliographic Details
Published in:Journal of functional analysis 2019-07, Vol.277 (1), p.1-30
Main Author: Kawamoto, Masaki
Format: Article
Language:English
Subjects:
Mourre theory
Repulsive Hamiltonian
Scattering theory
Time-periodic magnetic fields
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Description
Summary:We study the Mourre theory for the Floquet Hamiltonian Hˆ=−i∂t+H(t) generated by the time-periodic Hamiltonian H(t) with H(t+T)=H(t) which describes the Schrödinger equations with general time-periodic magnetic fields.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2019.03.010