1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
A discontinuity of the energy of quantum walk in impurities
Kenta Higuchi, Takashi Komatsu, Norio Konno +2
We consider the discrete-time quantum walk whose local dynamics is denoted by at the perturbed region and free at the other positions. We obtain the station…
Feynman Integral in Quantum Walk, Barrier-top Scattering and Hadamard Walk
Kenta Higuchi
The aim of this article is to relate the discrete quantum walk on with the continuous Schrödinger operator on in the scattering problem. Each point of $\m…
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…