English

Path Integral Approach to 't Hooft's Derivation of Quantum from Classical Physics

Quantum Physics 2007-05-23 v2

Abstract

We present a path-integral formulation of 't Hooft's derivation of quantum 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 Roessler dynamical system.

Keywords

Cite

@article{arxiv.quant-ph/0409021,
  title  = {Path Integral Approach to 't Hooft's Derivation of Quantum from Classical Physics},
  author = {Massimo Blasone and Petr Jizba and Hagen Kleinert},
  journal= {arXiv preprint arXiv:quant-ph/0409021},
  year   = {2007}
}

Comments

29 pages, RevTeX, revised version with minor changes, accepted to Phys. Rev. A

R2 v1 2026-07-22T19:45:49.142Z