Path-integral approach to 't Hooft's derivation of quantum physics from classical physics (19 pages)

Riccardo Rattazzi A

Massimo Blasone A, Petr Jizba B, Hagen M. Kleinert

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 R\"ossler dynamical system.

M. Blasone, P. Jizba, H. Kleinert

We present a path integral formulation of 't Hooft's derivation of quantum from classical physics. Our approach is based on two concepts: Faddeev-Jackiw's treatment of constrained systems and Gozzi's path integral formulation of classical mechanics. This treatment is compared with our earlier one [quant-ph/0409021] based on Dirac-Bergmann's method.

Martin C. Gutzwiller

Blasone,M., Jizba,P., Kleinert,H.

We present a path integral formulation of 't Hooft's derivation of quantum from classical physics. Our approach is based on two concepts: Faddeev-Jackiw's treatment of constrained systems and Gozzi's path integral formulation of classical mechanics. This treatment is compared with our earlier one [quant-ph/0409021] based on Dirac-Bergmann's method.