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