# 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.

#### One Citation

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In this paper, we compute the diffractive wave propagator of the Aharonov-Bohm effect on $\mathbf{R}^2$ with a single solenoid using a technique of moving solenoid location. In addition, we compute… Expand

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