Resonances and viscosity limit for the Wigner-von Neumann type Hamiltonian
Mathematical Physics
2024-02-06 v2 Analysis of PDEs
math.MP
Abstract
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 as the limit points of discrete eigenvalues of the Hamiltonian with a quadratic complex absorbing potential in the viscosity type limit.
Keywords
Cite
@article{arxiv.2003.07001,
title = {Resonances and viscosity limit for the Wigner-von Neumann type Hamiltonian},
author = {Kentaro Kameoka and Shu Nakamura},
journal= {arXiv preprint arXiv:2003.07001},
year = {2024}
}