GAUGE INVARIANT STATISTICAL MECHANICS AND AVERAGE ACTION PRINCIPLE FOR THE KLEIN-GORDON PARTICLE IN GEOMETRIC QUANTUM MECHANICS
19857 pages
Published in:
- Phys.Rev.D 32 (1985) 2615-2621
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Abstract: (APS)
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.- FIELD THEORY: SPACE-TIME
- STATISTICAL MECHANICS
- Klein-Gordon equation
- FIELD THEORY: SCALAR
- ELECTROMAGNETIC FIELD
- MATHEMATICAL METHODS: GEOMETRICAL
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