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

Massimo Blasone, Petr Jizba, and Hagen Kleinert
Phys. Rev. A 71, 052507 – Published 27 May 2005

Abstract

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.

  • Received 21 September 2004

DOI:https://doi.org/10.1103/PhysRevA.71.052507

©2005 American Physical Society

Authors & Affiliations

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

  • *Email address: blasone@sa.infn.it
  • Email address: petr@cm.ph.tsukuba.ac.jp
  • Email address: kleinert@physik.fu-berlin.de

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Issue

Vol. 71, Iss. 5 — May 2005

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