{ "id": "quant-ph/0608093", "version": "v1", "published": "2006-08-10T12:33:47.000Z", "updated": "2006-08-10T12:33:47.000Z", "title": "A gauge theory of quantum mechanics", "authors": [ "J. M. Isidro", "M. A. de Gosson" ], "comment": "9", "journal": "Mod.Phys.Lett.A22:191-200,2007", "doi": "10.1142/S0217732307022578", "categories": [ "quant-ph", "math-ph", "math.MP" ], "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.", "revisions": [ { "version": "v1", "updated": "2006-08-10T12:33:47.000Z" } ], "analyses": { "keywords": [ "quantum mechanics", "gauge theory", "feynman path integrals", "invariance group", "classical phase space" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 724291 } } }