Geometric Dequantization

Details Geometric Dequantization Geometric Dequantization

2004-06-04

arxiv.org/abs/quant-ph/0406028v1

Annals Phys. 317 (2005) 24-71

Physics

Quantum Physics

50+1 pages, Latex

Scientific paper

10.1016/j.aop.2004.12.001

Dequantization is a set of rules which turn quantum mechanics (QM) into classical mechanics (CM). It is not the WKB limit of QM. In this paper we show that, by extending time to a 3-dimensional "supertime", we can dequantize the system in the sense of turning the Feynman path integral version of QM into the functional counterpart of the Koopman-von Neumann operatorial approach to CM. Somehow this procedure is the inverse of geometric quantization and we present it in three different polarizations: the Schroedinger, the momentum and the coherent states ones.

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