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

Journal Article · Fri Feb 15 00:00:00 EST 2008 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2841329· OSTI ID:21013823

Eskin, G ^[1]

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1. Department of Mathematics, UCLA, Los Angeles, CA 90095-1555 (United States)

We consider the inverse boundary value problem for the Schroedinger operator with time-dependent electromagnetic potentials in domains with obstacles. We extend the resuls of the author's works [Inverse Probl. 19, 49 (2003); 19, 985 (2003); 20, 1497 (2004)] to the case of time-dependent potentials. We relate our results to the Aharonov-Bohm effect caused by magnetic and electric fluxes.

• OSTI ID: 21013823
• Journal Information: Journal of Mathematical Physics, Vol. 49, Issue 2; Other Information: DOI: 10.1063/1.2841329; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AHARONOV-BOHM EFFECT
BOUNDARY-VALUE PROBLEMS
POTENTIALS
SCHROEDINGER EQUATION
TIME DEPENDENCE