Quantum Behavior of Deterministic Systems with Information Loss. Path Integral Approach

Details Quantum Behavior of Deterministic Systems with Information Loss. Path Integral Approach Quantum Behavior of Deterministic Systems with Information Loss. Path Integral Approach

2005-04-26

arxiv.org/abs/quant-ph/0504200v2

Annals Phys. 320 (2005) 468-486

Physics

Quantum Physics

11 pages, RevTeX, revised version with minor changes, accepted to Annals of Physics

Scientific paper

10.1016/j.aop.2005.09.001

't Hooft's derivation of quantum from classical physics is analyzed by means of the classical path integral of Gozzi et al.. It is shown how the key element of this procedure - the loss of information constraint - can be implemented by means of Faddeev-Jackiw's treatment of constrained systems. It is argued that the emergent quantum systems are identical with systems obtained in [Phys.Rev. A 71 (2005) 052507] through Dirac-Bergmann's analysis. We illustrate our approach with two simple examples - free particle and linear harmonic oscillator. Potential Liouville anomalies are shown to be absent.

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