Quantum Tunneling and the Aharonov-Bohm effect

Bernard Helffer; Ayman Kachmar

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arXiv · 2407.16524

Quantum Tunneling and the Aharonov-Bohm effect

Bernard Helffer·Ayman Kachmar

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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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BibTeX RIS

Bernard Helffer, Ayman Kachmar. 2024-07-23. Quantum Tunneling and the Aharonov-Bohm effect. https://arxiv.org/abs/2407.16524

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