dorsal/arxiv
View SchemaA gauge theory of quantum mechanics
| Authors | J. M. Isidro, M. A. de Gosson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608093 |
| URL | https://arxiv.org/abs/quant-ph/0608093 |
| DOI | 10.1142/S0217732307022578 |
| Journal | Mod.Phys.Lett.A22:191-200,2007 |
Abstract
An Abelian gerbe is constructed over classical phase space. The 2-cocycles defining the gerbe are given by Feynman path integrals whose integrands contain the exponential of the Poincare-Cartan form. The U(1) gauge group on the gerbe has a natural interpretation as the invariance group of the Schroedinger equation on phase space.
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"abstract": "An Abelian gerbe is constructed over classical phase space. The 2-cocycles\ndefining the gerbe are given by Feynman path integrals whose integrands contain\nthe exponential of the Poincare-Cartan form. The U(1) gauge group on the gerbe\nhas a natural interpretation as the invariance group of the Schroedinger\nequation on phase space.",
"arxiv_id": "quant-ph/0608093",
"authors": [
"J. M. Isidro",
"M. A. de Gosson"
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"categories": [
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"doi": "10.1142/S0217732307022578",
"journal_ref": "Mod.Phys.Lett.A22:191-200,2007",
"title": "A gauge theory of quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0608093"
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