dorsal/arxiv
View SchemaRotating frames and gauge invariance in two-dimensional many-body quantum systems
| Authors | Jose Mendez Gamboa, Antonio O. Bouzas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305093 |
| URL | https://arxiv.org/abs/quant-ph/0305093 |
| DOI | 10.1088/0305-4470/36/25/311 |
| Journal | J.Phys.A36:7061-7080,2003 |
Abstract
We study the quantization of many-body systems in two dimensions in rotating coordinate frames using a gauge invariant formulation of the dynamics. We consider reference frames defined by linear and quadratic gauge conditions. In both cases we discuss their Gribov ambiguities and commutator algebra. We construct the momentum operators, inner-product and Hamiltonian in both types of gauges, for systems with and without translation invariance. The analogy with the quantization of QED in non-covariant gauges is emphasized. Our results are applied to quasi-rigid systems in the Eckart frame.
{
"annotation_id": "a98300a8-f162-4886-9e4e-b4efa2844f80",
"date_created": "2026-03-02T18:02:00.145000Z",
"date_modified": "2026-03-02T18:02:00.145000Z",
"file_hash": "bfd0098bd7d0324fa829bf2b7d8f2558569d1de8b92956fa14b7447373f77ff5",
"private": false,
"record": {
"abstract": "We study the quantization of many-body systems in two dimensions in rotating\ncoordinate frames using a gauge invariant formulation of the dynamics. We\nconsider reference frames defined by linear and quadratic gauge conditions. In\nboth cases we discuss their Gribov ambiguities and commutator algebra. We\nconstruct the momentum operators, inner-product and Hamiltonian in both types\nof gauges, for systems with and without translation invariance. The analogy\nwith the quantization of QED in non-covariant gauges is emphasized. Our results\nare applied to quasi-rigid systems in the Eckart frame.",
"arxiv_id": "quant-ph/0305093",
"authors": [
"Jose Mendez Gamboa",
"Antonio O. Bouzas"
],
"categories": [
"quant-ph",
"hep-ph"
],
"doi": "10.1088/0305-4470/36/25/311",
"journal_ref": "J.Phys.A36:7061-7080,2003",
"title": "Rotating frames and gauge invariance in two-dimensional many-body quantum systems",
"url": "https://arxiv.org/abs/quant-ph/0305093"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e639eea8-03b6-4076-ab2b-aa8948642fb3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}