11 citations · 28 across the 14 of their papers we have counts for
14 papers
Exponential growth and decay estimates for eigenfunctions with complex eigenvalues
Kenichi Ito
We prove a priori exponential growth and decay estimates for locally square integrable eigenfunctions with complex eigenvalues of the non-self-adjoint Schrödinger operator. There a…
Strong radiation condition bounds
K. Ito, E. Skibsted
We construct solutions to the eikonal equation for a class of long-range potentials, derive strong radiation condition bounds for the corresponding Schrödinger operator and apply t…
Stationary scattering theory for -body Stark operators, II
K. Ito, E. Skibsted
We study and develop the stationary scattering theory for a class of one-body Stark Hamiltonians with short-range potentials, including the Coulomb potential, continuing our study…
Hypergeometric expression for the resolvent of the discrete Laplacian in low dimensions
Kenichi Ito, Arne Jensen
We present an explicit formula for the resolvent of the discrete Laplacian on the square lattice, and compute its asymptotic expansions around thresholds in low dimensions. As a by…
Spectral theory for one-body Stark operators
T. Adachi, K. Itakura, K. Ito +1
We investigate spectral theory for a large class of one-body Stark Hamiltonians using a commutator technique. Our results include Rellich's theorem, the limiting absorption princip…
Time-dependent scattering theory on manifolds
Kenichi Ito, Erik Skibsted
Based on our previous study [IS3] on the stationary scattering theory for the Schrodinger operator on a manifold possessing an escape function we complete our investigation by doin…
Stationary scattering theory for one-body Stark operators, I
T. Adachi, K. Itakura, K. Ito +1
We study the stationary scattering theory for a perturbed 1-body Stark operator. We prove existence and completeness of the stationary wave operators, construct the associated gene…
Resolvent expansion for the Schrödinger operator on a graph with infinite rays
Kenichi Ito, Arne Jensen
We consider the Schrödinger operator on a combinatorial graph consisting of a finite graph and a finite number of discrete half-lines, all jointed together, and compute an asymptot…
Resolvent expansions for the Schrödinger operator on the discrete half-line
Kenichi Ito, Arne Jensen
Simplified models of transport in mesoscopic systems are often based on a small sample connected to a finite number of leads. The leads are often modelled using the Laplacian on th…
Branching form of the resolvent at threshold for multi-dimensional discrete Laplacians
Kenichi Ito, Arne Jensen
We consider the discrete Laplacian on , and compute asymptotic expansions of its resolvent around thresholds embedded in continuous spectrum as well as those at end po…
A complete classification of threshold properties for one-dimensional discrete Schrödinger operators
Kenichi Ito, Arne Jensen
We consider the discrete one-dimensional Schrödinger operator , where and is a self-adjoint operator on with a…
Microlocal properties of scattering matrices for Schrödinger equations on scattering manifolds
Kenichi Ito, Shu Nakamura
Let be a scattering manifold, i.e., a Riemannian manifold with asymptotically conic structure, and let be a Schrödinger operator on . We can construct a natural time-dep…
Remarks on the Fundamental Solution to Schrödinger Equation with Variable Coefficients
Kenichi Ito, Shu Nakamura
We consider Schrödinger operators on with variable coefficients. Let be the free Schrödinger operator and we suppose is a "short-range" pertur…
Time-dependent scattering theory for Schrödinger operators on scattering manifolds
Kenichi Ito, Shu Nakamura
We construct a time-dependent scattering theory for Schrödinger operators on a manifold with asymptotically conic structure. We use the two-space scattering theory formalism, a…