Quantum Tunneling and the Aharonov-Bohm effect
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929432825954304 |
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| author | Helffer, Bernard Kachmar, Ayman |
| author_facet | Helffer, Bernard Kachmar, Ayman |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16524 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Tunneling and the Aharonov-Bohm effect Helffer, Bernard Kachmar, Ayman Spectral Theory Mathematical Physics Analysis of PDEs 35P20, 81Q10, 81U26 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. |
| title | Quantum Tunneling and the Aharonov-Bohm effect |
| topic | Spectral Theory Mathematical Physics Analysis of PDEs 35P20, 81Q10, 81U26 |
| url | https://arxiv.org/abs/2407.16524 |