dorsal/arxiv
View SchemaNon-adiabatic holonomy operators in classical and quantum completely integrable systems
| Authors | G. Giachetta, L. Mangiarotti, G. Sardanashvily |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212108 |
| URL | https://arxiv.org/abs/quant-ph/0212108 |
Abstract
Given a completely integrable system, we associate to any connection on its invariant tori fibred over a parameter manifold the classical and quantum holonomy operator (generalized Berry's phase factor), without any adiabatic approximation.
{
"annotation_id": "092d78a0-a1df-42f0-8a78-ed68f5bd7f11",
"date_created": "2026-03-02T18:01:55.524000Z",
"date_modified": "2026-03-02T18:01:55.524000Z",
"file_hash": "8b7a5da3b7e81354b067816df12be5e209b2dceeda06f78d1c68ce590f12fcb5",
"private": false,
"record": {
"abstract": "Given a completely integrable system, we associate to any connection on its\ninvariant tori fibred over a parameter manifold the classical and quantum\nholonomy operator (generalized Berry\u0027s phase factor), without any adiabatic\napproximation.",
"arxiv_id": "quant-ph/0212108",
"authors": [
"G. Giachetta",
"L. Mangiarotti",
"G. Sardanashvily"
],
"categories": [
"quant-ph",
"math-ph",
"math.DS",
"math.MP",
"nlin.SI"
],
"title": "Non-adiabatic holonomy operators in classical and quantum completely integrable systems",
"url": "https://arxiv.org/abs/quant-ph/0212108"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8f307e53-3e0f-4b81-9314-42cf5879f289",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}