1 citations · 2 across the 8 of their papers we have counts for
8 papers
Semiclassical shape resonances for magnetic Stark Hamiltonians
Kentaro Kameoka, Naoya Yoshida
We study shape resonances of two-dimensional magnetic Stark Hamiltonians in the semiclassical limit. The magnetic field is assumed to be constant and the scalar potential is a pert…
Continuum limit of resonances for discrete Schrödinger operators
Kentaro Kameoka, Shu Nakamura
We consider complex resonances for discrete and continuous Schrödinger operators, and we show that the resonances of discrete models converge to resonances of continuous models in…
Many-body Stark resonances by the complex absorbing potential method
Kentaro Kameoka
The resonances of many-body Stark Hamiltonians are characterized by the complex absorbing potential method. Namely, the resonances are shown to be the limit points of complex discr…
Complex absorbing potential method for Stark resonances
Kentaro Kameoka
We characterize the resonances of Stark Hamiltonians by the complex absorbing potential method. Namely, we prove that the Stark resonances are the limit points of complex eigenvalu…
Semiclassical analysis and the Agmon-Finsler metric for discrete Schrödinger operators
Kentaro Kameoka
The Agmon estimate for multi-dimensional discrete Schrödinger operators is studied with emphasis on the microlocal analysis on the torus. We first consider the semiclassical settin…
Resonances and viscosity limit for the Wigner-von Neumann type Hamiltonian
Kentaro Kameoka, Shu Nakamura
The resonances for the Wigner-von Neumann type Hamiltonian are defined by the periodic complex distortion in the Fourier space. Also, following Zworski, we characterize resonances…
Semiclassical study of shape resonances in the Stark effect
Kentaro Kameoka
Semiclassical behavior of Stark resonances is studied. The complex distortion outside a cone is introduced to study resonances in any energy region for the Stark Hamiltonians with…
Remarks on semiclassical wavefront set
Kentaro Kameoka
The essential support of the symbol of a semiclassical pseudodifferentail operator is characterized by semiclassical wavefront sets of distributions. The proof employs a coherent s…