dorsal/arxiv
View SchemaRotating frames and gauge invariance in three-dimensional many-body quantum systems
| Authors | Antonio O. Bouzas, Jose Mendez Gamboa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405152 |
| URL | https://arxiv.org/abs/quant-ph/0405152 |
| DOI | 10.1088/0305-4470/37/26/013 |
| Journal | J.Phys.A37:6773-6806,2004 |
Abstract
We study the quantization of many-body systems in three dimensions in rotating coordinate frames using a gauge invariant formulation of the dynamics. We consider reference frames defined by linear gauge conditions, and discuss their Gribov ambiguities and commutator algebra. We construct the momentum operators, inner-product and Hamiltonian in those gauges, for systems with and without translation invariance. The analogy with the quantization of non-Abelian Yang-Mills theories in non-covariant gauges is emphasized. Our results are applied to quasi-rigid systems in the Eckart frame.
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"abstract": "We study the quantization of many-body systems in three dimensions in\nrotating coordinate frames using a gauge invariant formulation of the dynamics.\nWe consider reference frames defined by linear gauge conditions, and discuss\ntheir Gribov ambiguities and commutator algebra. We construct the momentum\noperators, inner-product and Hamiltonian in those gauges, for systems with and\nwithout translation invariance. The analogy with the quantization of\nnon-Abelian Yang-Mills theories in non-covariant gauges is emphasized. Our\nresults are applied to quasi-rigid systems in the Eckart frame.",
"arxiv_id": "quant-ph/0405152",
"authors": [
"Antonio O. Bouzas",
"Jose Mendez Gamboa"
],
"categories": [
"quant-ph",
"hep-ph"
],
"doi": "10.1088/0305-4470/37/26/013",
"journal_ref": "J.Phys.A37:6773-6806,2004",
"title": "Rotating frames and gauge invariance in three-dimensional many-body quantum systems",
"url": "https://arxiv.org/abs/quant-ph/0405152"
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