Gauge-invariant statistical mechanics and average action principle for the Klein-Gordon particle in geometric quantum mechanics

E. Santamato
Phys. Rev. D 32, 2615 – Published 15 November 1985
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Abstract

A gauge-invariant average action principle is presented that permits the formulation of a completely classical theory which is proved to be equivalent to Klein-Gordon quantum mechanics. In this approach, here called geometric quantum mechanics, the particle motion as well as the space-time geometry are determined simultaneously from the same average action principle. Quantum effects are proved to be related to space-time affine connections rather than to space-time metric tensor components. In this way geometric quantum mechanics is made compatible with axiomatic approaches to both space-time structure and probability calculus.

  • Received 10 May 1985

DOI:https://doi.org/10.1103/PhysRevD.32.2615

©1985 American Physical Society

Authors & Affiliations

E. Santamato

  • Dipartimento di Fisica Nucleare, Struttura della Materia e Fisica Applicata di Napoli, Pad. 20-Mostra d’Oltremare, 80125 Napoli, Italy

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Vol. 32, Iss. 10 — 15 November 1985

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