The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials
Analysis of PDEs
2022-02-02 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
We study leading order singularities of the wave trace of the Aharonov--Bohm Hamiltonian on with multiple solenoids under a generic assumption that no three solenoids are collinear. Then we apply our formula to get a lower bound of scattering resonances in a logarithmic neighborhood near the real axis.
Keywords
Cite
@article{arxiv.2105.06542,
title = {The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials},
author = {Mengxuan Yang},
journal= {arXiv preprint arXiv:2105.06542},
year = {2022}
}
Comments
v2: 32 pages, 5 figures. Comments are welcome