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Mourre theory for time-periodic magnetic fields

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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… Click to show full 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.

Keywords: time; time periodic; magnetic fields; mourre theory; theory time; periodic magnetic

Journal Title: Journal of Functional Analysis
Year Published: 2019

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