Topology of the Aharonov-Bohm effect in different reference frames
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| Format: | Preprint |
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2025
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| _version_ | 1866912770303197184 |
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| author | Rodrigues, Hiram S. M. Arévola, Katson W. O. Saldanha, Pablo L. |
| author_facet | Rodrigues, Hiram S. M. Arévola, Katson W. O. Saldanha, Pablo L. |
| contents | Recent works showed that the Aharonov-Bohm (AB) phase difference for a quantum charged particle can be written in terms of electric and magnetic fluxes in a spacetime surface whose boundaries are the possible particle worldlines in the interferometer, relative to the possible paths. After presenting this result in a more detailed way, reinforcing its topological nature, we study the magnetic and electric versions of the AB effect in different inertial reference frames. We find a particular reference frame for a magnetic AB effect where the magnetic flux has a null contribution for the AB phase difference, which is entirely due to an electric flux. Also, we find a particular reference frame for an electric AB effect where the electric flux has a null contribution for the AB phase difference, which is entirely due to a magnetic flux. In this sense, the nomenclatures 'magnetic AB effect' and 'electric AB effect' lose their meaning. We have electromagnetic AB effects. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_26533 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topology of the Aharonov-Bohm effect in different reference frames Rodrigues, Hiram S. M. Arévola, Katson W. O. Saldanha, Pablo L. Quantum Physics Recent works showed that the Aharonov-Bohm (AB) phase difference for a quantum charged particle can be written in terms of electric and magnetic fluxes in a spacetime surface whose boundaries are the possible particle worldlines in the interferometer, relative to the possible paths. After presenting this result in a more detailed way, reinforcing its topological nature, we study the magnetic and electric versions of the AB effect in different inertial reference frames. We find a particular reference frame for a magnetic AB effect where the magnetic flux has a null contribution for the AB phase difference, which is entirely due to an electric flux. Also, we find a particular reference frame for an electric AB effect where the electric flux has a null contribution for the AB phase difference, which is entirely due to a magnetic flux. In this sense, the nomenclatures 'magnetic AB effect' and 'electric AB effect' lose their meaning. We have electromagnetic AB effects. |
| title | Topology of the Aharonov-Bohm effect in different reference frames |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.26533 |