Geometric Dequantization
Quantum Physics
2009-11-10 v1 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.quant-ph/0406028,
title = {Geometric Dequantization},
author = {A. A. Abrikosov and E. Gozzi and D. Mauro},
journal= {arXiv preprint arXiv:quant-ph/0406028},
year = {2009}
}
Comments
50+1 pages, Latex