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math.SP2021
Resonances in finitely perturbed quantum walks, resonance expansion and generic simplicity
Kenta Higuchi, Hisashi Morioka, Etsuo Segawa
We define resonances for finitely perturbed quantum walks as poles of the scattering matrix in the lower half plane. We show a resonance expansion which describes the time evolutio…
math.SP2019
Resonance free domain for a system of Schrödinger operators with energy-level crossings
Kenta Higuchi
We consider a system of 1D semiclassical differential operators with two Schrödinger operators in the diagonal part and small interactions of order in the off-dia…