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 / ABRIKOSOV JR, A.A., Gozzi, E., Mauro, D.. - In: ANNALS OF PHYSICS. - ISSN 0003-4916. - STAMPA. - 317:(2005), pp. 24-71. [10.1016/j.aop.2004.12.001]
Geometric dequantization
GOZZI, ENNIO;
2005-01-01
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.Pubblicazioni consigliate
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