Inverse problems for the Schrodinger equations with time-dependent electromagnetic potentials and the Aharonov-Bohm effect
Analysis of PDEs
2015-07-06 v1 Mathematical Physics
math.MP
Abstract
We consider the inverse boundary value problem for the Schrodinger operator with time-dependent electromagnetic potentials in domains with obstacles. We extend the resuls of the author's works [E1], [E2], [E3] to the case of time-dependent potentials. We relate our results to the Aharonov-Bohm effect caused by magnetic and electric fluxes.
Keywords
Cite
@article{arxiv.math/0611342,
title = {Inverse problems for the Schrodinger equations with time-dependent electromagnetic potentials and the Aharonov-Bohm effect},
author = {Gregory Eskin},
journal= {arXiv preprint arXiv:math/0611342},
year = {2015}
}
Comments
26 pages