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Phys. Rev. A 71, 052507 (2005) [19 pages]

Path-integral approach to ’t Hooft’s derivation of quantum physics from classical physics

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Massimo Blasone1,*, Petr Jizba2,†, and Hagen Kleinert3,‡
1Dipartimento di Fisica, Università di Salerno, Via S.Allende, 84081 Baronissi (SA), Italy
2Institute for Theoretical Physics, University of Tsukuba, Ibaraki 305-8571, Japan and FNSPE,Czech Technical University, Brehova 7, 115 19 Praha 1, Czech Republic
3Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14 D-14195 Berlin, Germany

Received 21 September 2004; published 27 May 2005

We present a path-integral formulation of ’t Hooft’s derivation of quantum physics from classical physics. The crucial ingredient of this formulation is Gozzi et al.’s supersymmetric path integral of classical mechanics. We quantize explicitly two simple classical systems: the planar mathematical pendulum and the Rössler dynamical system.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.052507
DOI:
10.1103/PhysRevA.71.052507
PACS:
31.15.Kb, 03.65.−w, 45.20.Jj, 11.30.Pb

*Email address: blasone@sa.infn.it

Email address: petr@cm.ph.tsukuba.ac.jp

Email address: kleinert@physik.fu-berlin.de