Diffraction of the Aharonov-Bohm Hamiltonian
Analysis of PDEs
2021-06-14 v2 Mathematical Physics
math.MP
Abstract
In this paper, we compute the diffractive wave propagator of the Aharonov-Bohm effect on with a single solenoid using a technique of moving solenoid location. In addition, we compute the corresponding diffraction coefficient which is the principal symbol of the diffractive propagator. This paper gives the first proof of propagation of singularities of the Aharonov-Bohm Hamiltonian.
Cite
@article{arxiv.2008.04129,
title = {Diffraction of the Aharonov-Bohm Hamiltonian},
author = {Mengxuan Yang},
journal= {arXiv preprint arXiv:2008.04129},
year = {2021}
}
Comments
This is a pre-published version. The published version is available at https://rdcu.be/clTMj