Quantum Geometry of a Configuration Space in a Covariant Dynamical Theory

2009/08/31 by N. Gorobey, Gorobey, N., A. Lukyanenko +3
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.0908.4543

5 pages

arxiv created 2009/09/10 · arxiv updated 2009/12/01

Abstract

A quantum version of the action principle in a simple covariant dynamical theory of two relativistic particles is formulated. The central object of this new formulation of quantum theory is a stationary eigenvalue of the quantum action. This quantity defines a quantum geometry in a configuration space. In the presence of "probe" fields it plays the role of a generation function of observables.

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