On the Mourre estimates for three-body Floquet Hamiltonians

Published 23 Apr 2019 in math-ph and math.MP | (1904.10190v1)

Abstract: In this paper, we consider the Floquet Hamiltonian $K$ associated with a three-body Schr\"odinger operator with time-periodic pair potentials $H(t)$. By introducing a conjugate operator $A$ for $K$ in the standard Mourre theory, we prove the Mourre estimate for $K$.

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Tadayoshi Adachi

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