Corpus ID: 234681521

The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials

@inproceedings{Yang2021TheWT,
  title={The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials},
  author={Mengxuan Yang},
  year={2021}
}
We study leading order singularities of the wave trace of the Aharonov–Bohm Hamiltonian on R 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. 

Figures from this paper

Diffraction of the Aharonov-Bohm Hamiltonian