59 citations · 151 across the 21 of their papers we have counts for
21 papers
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…
A remark on the absence of eigenvalues in continuous spectra for discrete Schrödinger operators on periodic lattices
Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka
We prove a Rellich-Vekua type theorem for Schrödinger operators with exponentially decreasing potentials on a class of lattices including square, triangular, hexagonal lattices and…
Complex translation methods and its application to resonances for quantum walks
Kenta Higuchi, Hisashi Morioka
In this paper, some properties of resonances for multi-dimensional quantum walks are studied. Resonances for quantum walks are defined as eigenvalues of complex translated time evo…
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…
Comfortable place for quantum walkers on finite path
Yoshihiro Anahara, Norio Konno, Hisashi Morioka +1
We consider the stationary state of a quantum walk on the finite path, where the sink and source are set at the left and right boundaries. The quantum coin is uniformly placed at e…
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…
-stableness for solution to linearized KdV equation
Masaki Kawamoto, Hisashi Morioka
The linearized Korteweg-De Vries equation can be written as a Hamilton-like system. However, the Hamilton energy depends on the time, and is a nonsymmetric operator on $L^2({\bf R}…
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…
Explicit expression of scattering operator of some quantum walks on impurities
Takashi Komatsu, Norio Konno, Hisashi Morioka +1
In this paper, we consider the scattering theory for a one-dimensional quantum walk with impurities which make reflections and transmissions. We focus on an explicit expression of…
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…
Generalized eigenfunctions and scattering matrices for position-dependent quantum walks
Hisashi Morioka
We study the spectral analysis and the scattering theory for time evolution operators of position-dependent quantum walks. Our main purpose of this paper is construction of general…
Detection of edge defects by embedded eigenvalues of quantum walks
Hisashi Morioka, Etsuo Segawa
We consider a position-dependent quantum walk on . In particular, we derive a detection method for edge defects by embedded eigenvalues of its time evolution operator. In…
Inverse scattering for Schrödinger operators on perturbed lattices
Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka
We study the inverse scattering for Schr{ö}dinger operators on locally perturbed periodic lattices. We show that the associated scattering matrix is equivalent to the Dirichlet-to-…
Interior transmission eigenvalue problems on compact manifolds with boundary conductivity parameters
Hisashi Morioka, Naotaka Shoji
In this paper, we consider an interior transmission eigenvalue (ITE) problem on some compact -Riemannian manifolds with a common smooth boundary. In particular, these…
Spectral Properties of Schrödinger Operators on Perturbed Lattices
Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka
We study the spectral properties of Schrödinger operators on perturbed lattices. We shall prove the non-existence or the discreteness of embedded eigenvalues, the limiting absorpti…
Inverse scattering at a fixed energy for discrere Schrödinger operators on the square lattice
Hiroshi Isozaki, Hisashi Morioka
We study an inverse scattering problem for the discrete Schrödinger operator on the multi-dimensional square lattice, with compactly supported potential. We show that the potential…
A Rellich Type Theorem for Discrete Schr{ö}dinger Operators
Hiroshi Isozaki, Hisashi Morioka
An analogue of Rellich's theorem is proved for discrete Laplacian on square lattice, and applied to show unique continuation property on certain domains as well as non-existence of…