Quantum Tunneling and the Aharonov-Bohm effect

Autor: Helffer, Bernard, Kachmar, Ayman
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 41 pages
Databáze: arXiv