Quantum treatment of constrained systems and implications for path integrals

Werner Kerler A

Eqab M. Rabei

Steven K. Blau

V. Pažma

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.