dorsal/arxiv
View SchemaAdiabatic geometric phases in hydrogenlike atoms
| Authors | Erik Sjöqvist, X. X. Yi, J. Åberg |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505058 |
| URL | https://arxiv.org/abs/quant-ph/0505058 |
| DOI | 10.1103/PhysRevA.72.054101 |
| Journal | Phys. Rev. A 72, 054101 (2005) |
Abstract
We examine the effect of spin-orbit coupling on geometric phases in hydrogenlike atoms exposed to a slowly varying magnetic field. The marginal geometric phases associated with the orbital angular momentum and the intrinsic spin fulfill a sum rule that explicitly relates them to the corresponding geometric phase of the whole system. The marginal geometric phases in the Zeeman and Paschen-Back limit are analyzed. We point out the existence of nodal points in the marginal phases that may be detected by topological means.
{
"annotation_id": "41c43898-3190-4e9d-9cbd-2b6f090480a1",
"date_created": "2026-03-02T18:02:16.427000Z",
"date_modified": "2026-03-02T18:02:16.427000Z",
"file_hash": "c37a6f4f9fc0e89632d934ee98e89e7fa1319608f08686f15c7e00c3be3ff5a4",
"private": false,
"record": {
"abstract": "We examine the effect of spin-orbit coupling on geometric phases in\nhydrogenlike atoms exposed to a slowly varying magnetic field. The marginal\ngeometric phases associated with the orbital angular momentum and the intrinsic\nspin fulfill a sum rule that explicitly relates them to the corresponding\ngeometric phase of the whole system. The marginal geometric phases in the\nZeeman and Paschen-Back limit are analyzed. We point out the existence of nodal\npoints in the marginal phases that may be detected by topological means.",
"arxiv_id": "quant-ph/0505058",
"authors": [
"Erik Sj\u00f6qvist",
"X. X. Yi",
"J. \u00c5berg"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.054101",
"journal_ref": "Phys. Rev. A 72, 054101 (2005)",
"title": "Adiabatic geometric phases in hydrogenlike atoms",
"url": "https://arxiv.org/abs/quant-ph/0505058"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ced7d623-e472-4017-ac8c-470676fc7ba1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}