dorsal/arxiv
View SchemaCorrespondences and Quantum Description of Aharonov-Bohm and Aharonov-Casher Effects
| Authors | Minchul Lee, M. Y. Choi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310032 |
| URL | https://arxiv.org/abs/quant-ph/0310032 |
| DOI | 10.1088/0305-4470/37/3/029 |
Abstract
We establish systematic consolidation of the Aharonov-Bohm and Aharonov-Casher effects including their scalar counterparts. Their formal correspondences in acquiring topological phases are revealed on the basis of the gauge symmetry in non-simply connected spaces and the adiabatic condition for the state of magnetic dipoles. In addition, investigation of basic two-body interactions between an electric charge and a magnetic dipole clarifies their appropriate relative motions and discloses physical interrelations between the effects. Based on the two-body interaction, we also construct an exact microscopic description of the Aharonov-Bohm effect, where all the elements are treated on equal footing, i.e., magnetic dipoles are described quantum-mechanically and electromagnetic fields are quantized. This microscopic analysis not only confirms the conventional (semiclassical) results and the topological nature but also allows one to explore the fluctuation effects due to the precession of the magnetic dipoles with the adiabatic condition relaxed.
{
"annotation_id": "87d64767-37f0-4de1-9e5b-ead0a7156b12",
"date_created": "2026-03-02T18:02:03.546000Z",
"date_modified": "2026-03-02T18:02:03.546000Z",
"file_hash": "df8e0f59ec6370edd24a26ba0251e7667cfc13a6483912aad4d1464a925e8cd5",
"private": false,
"record": {
"abstract": "We establish systematic consolidation of the Aharonov-Bohm and\nAharonov-Casher effects including their scalar counterparts. Their formal\ncorrespondences in acquiring topological phases are revealed on the basis of\nthe gauge symmetry in non-simply connected spaces and the adiabatic condition\nfor the state of magnetic dipoles. In addition, investigation of basic two-body\ninteractions between an electric charge and a magnetic dipole clarifies their\nappropriate relative motions and discloses physical interrelations between the\neffects. Based on the two-body interaction, we also construct an exact\nmicroscopic description of the Aharonov-Bohm effect, where all the elements are\ntreated on equal footing, i.e., magnetic dipoles are described\nquantum-mechanically and electromagnetic fields are quantized. This microscopic\nanalysis not only confirms the conventional (semiclassical) results and the\ntopological nature but also allows one to explore the fluctuation effects due\nto the precession of the magnetic dipoles with the adiabatic condition relaxed.",
"arxiv_id": "quant-ph/0310032",
"authors": [
"Minchul Lee",
"M. Y. Choi"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"doi": "10.1088/0305-4470/37/3/029",
"title": "Correspondences and Quantum Description of Aharonov-Bohm and Aharonov-Casher Effects",
"url": "https://arxiv.org/abs/quant-ph/0310032"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f1b0fc61-b349-4a57-a83f-7770bb1a8b97",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}