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A GAUGE THEORY OF QUANTUM MECHANICS

JOSÉ M. ISIDRO

Instituto de Física Corpuscular (CSIC–UVEG), Apartado de Correos 22085, Valencia 46071, Spain

Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, D-14476 Golm, Germany

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and

MAURICE A. DE GOSSON

Institut für Mathematik, Universität Potsdam, Am Neuen Palais 10, D-14415 Potsdam, Germany

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https://doi.org/10.1142/S0217732307022578Cited by:3 (Source: Crossref)

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.

Keywords:

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