Quantum Tunneling and the Aharonov-Bohm effect
Spectral Theory
2024-07-24 v1 Mathematical Physics
Analysis of PDEs
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.
Cite
@article{arxiv.2407.16524,
title = {Quantum Tunneling and the Aharonov-Bohm effect},
author = {Bernard Helffer and Ayman Kachmar},
journal= {arXiv preprint arXiv:2407.16524},
year = {2024}
}
Comments
41 pages