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 Schr\"odinger, the momentum and the coherent states ones.

Geometric dequantization

GOZZI, ENNIO;
2005

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 Schr\"odinger, the momentum and the coherent states ones.
http://www.sciencedirect.com/science/article/pii/S0003491604002295
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11368/1695643
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