A gauge theory of quantum mechanics
Quantum Physics
2008-11-26 v1 Mathematical Physics
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.
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Cite
@article{arxiv.quant-ph/0608093,
title = {A gauge theory of quantum mechanics},
author = {J. M. Isidro and M. A. de Gosson},
journal= {arXiv preprint arXiv:quant-ph/0608093},
year = {2008}
}
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