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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2511.07775 |
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| _version_ | 1866918195959431168 |
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| author | Wakamatsu, Masashi |
| author_facet | Wakamatsu, Masashi |
| contents | Whether the time-dependent Aharonov-Bohm (AB) effect even exists or not has been the subject of long-standing debate. There are two factors complicating the problem. First, in the closed spacetime line integral of the vector potential that is thought to give the AB-phase shift, how to treat the time-varying vector potential is highly nontrivial. Second, the time-varying magnetic flux generates induced electric field even outside the solenoid. In the present paper, motivated by a recent work by Gao, we re-investigate the role of the induced electric field with the utmost care. This analysis reveals a highly nontrivial effect of the induced electric field, which turns out to be useful for verifying the very existence of the time-dependent AB-effect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07775 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the role of induced electric field in the time-dependent Aharonov-Bohm effect Wakamatsu, Masashi Quantum Physics High Energy Physics - Phenomenology Nuclear Theory Whether the time-dependent Aharonov-Bohm (AB) effect even exists or not has been the subject of long-standing debate. There are two factors complicating the problem. First, in the closed spacetime line integral of the vector potential that is thought to give the AB-phase shift, how to treat the time-varying vector potential is highly nontrivial. Second, the time-varying magnetic flux generates induced electric field even outside the solenoid. In the present paper, motivated by a recent work by Gao, we re-investigate the role of the induced electric field with the utmost care. This analysis reveals a highly nontrivial effect of the induced electric field, which turns out to be useful for verifying the very existence of the time-dependent AB-effect. |
| title | On the role of induced electric field in the time-dependent Aharonov-Bohm effect |
| topic | Quantum Physics High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2511.07775 |