4 citations · 10 across the 6 of their papers we have counts for
6 papers
Resonance free domain for Schrödinger operators with repulsive potential
K. Itakura
We study resonances for the Schrödinger operators with quadratic or sub-quadratic repulsive potential. In the present paper, we show the non-existence of resonances in some complex…
Stationary scattering theory for repulsive Hamiltonians
Kyohei Itakura
In the present paper we discuss stationary scattering theory for repulsive Hamiltonians. We show the existence and completeness of stationary wave operators and unitarity of the sc…
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…
New methods in spectral theory of -body Schrödinger operators
T. Adachi, K. Itakura, K. Ito +1
We develop a new scheme of proofs for spectral theory of the -body Schrödinger operators, reproducing and extending a series of sharp results under minimum conditions. Our main…
Limiting absorption principle and radiation condition for repulsive Hamiltonians
Kyohei Itakura
For spherically symmetric repulsive Hamiltonians we prove the Besov bound, the radiation condition bounds and the limiting absorption principle. The Sommerfeld uniqueness result al…
Rellich's theorem for spherically symmetric repulsive Hamiltonians
Kyohei Itakura
For spherically symmetric repulsive Hamiltonians we prove Rellich's theorem, or identify the largest weighted space of Agmon-Hörmander type where the generalized eigenfunctions are…