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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.SP2015★ 2 cited
Spectral properties of weighted line digraphs
E. Segawa
In this paper, we treat some weighted line digraphs which are induced by a connected and undirected graph. For a given graph , the adjacency matrix of the weighted line digraph…