A gauge theory of quantum mechanics

Details A gauge theory of quantum mechanics A gauge theory of quantum mechanics

2006-08-10

arxiv.org/abs/quant-ph/0608093v1

Mod.Phys.Lett.A22:191-200,2007

Physics

Quantum Physics

9

Scientific paper

10.1142/S0217732307022578

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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