Inverse problems for the Schrodinger equations with time-dependent electromagnetic potentials and the Aharonov-Bohm effect

Details Inverse problems for the Schrodinger equations with time-dependent electromagnetic potentials and the Aharonov-Bohm effect Inverse problems for the Schrodinger equations with time-dependent electromagnetic potentials and the Aharonov-Bohm effect

2006-11-12

arxiv.org/abs/math/0611342v1

Mathematics

Analysis of PDEs

26 pages

Scientific paper

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.

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