Path-integral approach to 't Hooft's derivation of quantum physics from classical physics
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 ’s supersymmetric path integral of classical mechanics. We quantize explicitly two simple classical systems: the planar mathematical pendulum and the Rössler dynamical system.
- Publication:
-
Physical Review A
- Pub Date:
- May 2005
- DOI:
- 10.1103/PhysRevA.71.052507
- arXiv:
- arXiv:quant-ph/0409021
- Bibcode:
- 2005PhRvA..71e2507B
- Keywords:
-
- 31.15.Kb;
- 03.65.-w;
- 45.20.Jj;
- 11.30.Pb;
- Path-integral methods;
- Quantum mechanics;
- Lagrangian and Hamiltonian mechanics;
- Supersymmetry;
- Quantum Physics
- E-Print:
- 29 pages, RevTeX, revised version with minor changes, accepted to Phys. Rev. A