59 citations · 151 across the 21 of their papers we have counts for
8 papers · 1 filter
Resonant scattering for tunable quantum walks on graphs with tails
Kenta Higuchi, Ryuta Ishikawa, Hisashi Morioka +2
We study the resonant scattering for discrete time quantum walks on graphs with some tails. In our arguments, we reduce the study of resonances to the perturbation of eigenvalues o…
Resonance expansion for quantum walks and its applications to the long-time behavior
Kenta Higuchi, Hisashi Morioka, Etsuo Segawa
In this paper, resonances are introduced to a class of quantum walks on . Resonances are defined as poles of the meromorphically extended resolvent of the unitary time…
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…
Asymptotic properties of generalized eigenfunctions for multi-dimensional quantum walks
Takashi Komatsu, Norio Konno, Hisashi Morioka +1
We construct a distorted Fourier transformation associated with the multi-dimensional quantum walk. In order to avoid the complication of notations, almost all of our arguments are…
Inverse scattering on the quantum graph for graphene
Kazunori Ando, Hiroshi Isozaki, Evgeny Korotyaev +1
We consider the inverse scattering on the quantum graph associated with the hexagonal lattice. Assuming that the potentials on the edges are compactly supported and symmetric, we s…
Generalized eigenfunctions for quantum walks via path counting approach
Takashi Komatsu, Norio Konno, Hisashi Morioka +1
We consider the time-independent scattering theory for time evolution operators of one-dimensional two-state quantum walks. The scattering matrix associated with the position-depen…
Inverse scattering on the quantum graph -- Edge model for graphen
Kazunori Ando, Hiroshi Isozaki, Evgeny Korotyaev +1
We consider the inverse scattering on the quantum graph associated with the hexagonal lattice. Assuming that the potentials on the edges are compactly supported, we show that the S…
Non-scattering energies for acoustic-type equations on manifolds with a single flat end
Hisashi Morioka, Naotaka Shoji
In this paper, we consider the scattering theory for acoustic-type equations on non-compact manifolds with a single flat end. Our main purpose is to show an existence result of non…