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Mourre Theory For Time-Periodic Magnetic Fields

Published 16 Nov 2017 in math-ph and math.MP | (1711.06071v1)

Abstract: We study the Mourre theory for the Floquet Hamiltonian $\hat{H} = -i \partial_t + H(t)$ generated by the time-periodic Hamiltonian $H(t)$ with $H(t+T) =H(t)$, which describes the Schr\"{o}dinger equations with general time-periodic magnetic fields.

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