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  A gauge theory of quantum mechanics

Isidro, J. M., & de Gosson, M. A. (2007). A gauge theory of quantum mechanics. Modern Physics Letters A, 22(3), 191-200. doi:10.1142/S0217732307022578.

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0608093v1.pdf (Preprint), 111KB
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Isidro, Jose M.1, Author
de Gosson, M. A.1, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: An Abelian gerbe is constructed over classical phase space. The two-cocycles defining the gerbe are given by Feynman path integrals whose integrands contain the exponential of the Poincaré–Cartan form. The U(1) gauge group on the gerbe has a natural interpretation as the invariance group of the Schrödinger equation on phase space.

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 Dates: 2007-01-30
 Publication Status: Issued
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 Identifiers: eDoc: 334887
ISI: 000251284100003
DOI: 10.1142/S0217732307022578
Other: arXiv:quant-ph/0608093v1
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Title: Modern Physics Letters A
Source Genre: Journal
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Pages: - Volume / Issue: 22 (3) Sequence Number: - Start / End Page: 191 - 200 Identifier: ISSN: 0217-7323