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dc.contributor.author | Isidro, José M. | en_US |
dc.contributor.author | Gosson, Maurice A. de | en_US |
dc.date.accessioned | 2008-12-10T12:35:43Z | - |
dc.date.available | 2008-12-10T12:35:43Z | - |
dc.date.issued | 2007-03-30 | en_US |
dc.identifier.citation | Journal of Physics A - Mathematical and Theoretical 40(13): 3549-3567 (2007) | en_US |
dc.identifier.issn | 1751-8113 | en_US |
dc.identifier.uri | http://hdl.handle.net/10261/9167 | - |
dc.description | 19 pages, 1 figure.-- PACS nrs.: 02.20.Bb, 02.40.Re, 03.65.Fd.-- ISI Article Identifier: 000245037900017.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-th/0608087 | en_US |
dc.description.abstract | We construct a U(1) gerbe with a connection over a finite-dimensional, classical phase space P. The connection is given by a triple of forms A, B, H: a potential 1-form A, a Neveu-Schwarz potential 2-form B, and a field-strength 3-form H = dB. All three of them are defined exclusively in terms of elements already present in P, the only external input being Planck's constant h. U(1) gauge transformations acting on the triple A, B, H are also defined, parametrized either by a 0-form or by a 1-form. While H remains gauge invariant in all cases, quantumness versus classicality appears as a choice of 0-form gauge for the 1-form A. The fact that [H]/2πi is an integral class in de Rham cohomology is related to the discretization of symplectic area on P. This is an equivalent, coordinate-free reexpression of Heisenberg's uncertainty principle. A choice of 1-form gauge for the 2-form B relates our construction to generalized complex structures on classical phase space. Altogether this allows one to interpret the quantum mechanics corresponding to P as an Abelian gauge theory. | en_US |
dc.description.sponsorship | This work has been supported by Ministerio de Educación y Ciencia (Spain) through grant FIS2005-02761, by Generalitat Valenciana, by EU FEDER funds, bsy EU network MRTN-CT-2004-005104 (Constituents, Fundamental Forces and Symmetries of the Universe) and by Deutsche Forschungsgemeinschaft. | - |
dc.format.extent | 2373 bytes | - |
dc.format.mimetype | text/plain | - |
dc.language.iso | eng | en_US |
dc.publisher | Institute of Physics Publishing | en_US |
dc.rights | openAccess | en_US |
dc.subject | Path-integral Duality | en_US |
dc.subject | Schrödinger equation | en_US |
dc.subject | Quantization | en_US |
dc.subject | [PACS] General structures of groups | en_US |
dc.subject | [PACS] Algebraic topology | en_US |
dc.subject | [PACS] Algebraic methods | en_US |
dc.title | Abelian gerbes as a gauge theory of quantum mechanics on phase space | en_US |
dc.type | artículo | en_US |
dc.identifier.doi | 10.1088/1751-8113/40/13/016 | - |
dc.description.peerreviewed | Peer reviewed | en_US |
dc.relation.publisherversion | http://dx.doi.org/10.1088/1751-8113/40/13/016 | en_US |
dc.type.coar | http://purl.org/coar/resource_type/c_6501 | es_ES |
item.openairetype | artículo | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
item.languageiso639-1 | en | - |
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