Geometric dequantization

Journal Article · Sun May 01 00:00:00 EDT 2005 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2004.12.001· OSTI ID:20690148

Abrikosov, A A ^[1]; Gozzi, E ^[2]; Mauro, D ^[2]

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1. ITEP, Bol. Cheremushkinskaya, 25, Moscow, 117259 (Russian Federation)
2. Department of Theoretical Physics, University of Trieste, Strada Costiera 11, Miramare-Grignano 34014, Trieste and INFN, Sezione di Trieste (Italy)

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.

• OSTI ID: 20690148
• Journal Information: Annals of Physics (New York), Vol. 317, Issue 1; Other Information: DOI: 10.1016/j.aop.2004.12.001; PII: S0003-4916(04)00229-5; Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNIHILATION OPERATORS
CLASSICAL MECHANICS
EIGENSTATES
FEYNMAN PATH INTEGRAL
POLARIZATION
QUANTIZATION
QUANTUM MECHANICS
THREE-DIMENSIONAL CALCULATIONS