The Aharonov-Casher Phase: Considerations Regarding Force, Time-Dependence, and Berry Phase
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915340662865920 |
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| author | Kuzmenko, Igor Band, Y. B. Avishai, Yshai |
| author_facet | Kuzmenko, Igor Band, Y. B. Avishai, Yshai |
| contents | The relation of the Aharonov-Casher (AC) effect and the force on a particle having a magnetic moment is explored. The general form of the AC Hamiltonian is derived using the Foldy-Wouthuysen transformation to the Dirac equation. Geometries in which an analytic expression for the phase can be obtained are examined, as well as the relation of the AC phase to the Berry phase. The AC phase is determined for an arbitrary homogeneous electric field; it is quadratic (linear) in the field strength for small (large) electric field strengths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11149 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Aharonov-Casher Phase: Considerations Regarding Force, Time-Dependence, and Berry Phase Kuzmenko, Igor Band, Y. B. Avishai, Yshai Quantum Physics Quantum Gases The relation of the Aharonov-Casher (AC) effect and the force on a particle having a magnetic moment is explored. The general form of the AC Hamiltonian is derived using the Foldy-Wouthuysen transformation to the Dirac equation. Geometries in which an analytic expression for the phase can be obtained are examined, as well as the relation of the AC phase to the Berry phase. The AC phase is determined for an arbitrary homogeneous electric field; it is quadratic (linear) in the field strength for small (large) electric field strengths. |
| title | The Aharonov-Casher Phase: Considerations Regarding Force, Time-Dependence, and Berry Phase |
| topic | Quantum Physics Quantum Gases |
| url | https://arxiv.org/abs/2506.11149 |