Quantum Tunneling and the Aharonov-Bohm effect (2407.16524v1)

Published 23 Jul 2024 in math.SP, math-ph, math.AP, and math.MP

Abstract: We investigate a Hamiltonian with radial potential wells and an Aharonov-Bohm vector potential with two poles. Assuming that the potential wells are symmetric, we derive the semi-classical asymptotics of the splitting between the ground and second state energies. The flux effects due to the Aharonov-Bohm vector potential are of lower order compared to the contributions coming from the potential wells.

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Crossings or equality of the second and third eigenvalues in the half-integer flux double-well case

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