Quantization of Floreanini-Jackiw chiral harmonic oscillator

1999/01/31 by Dumitru Baleanu, Yurdahan Guler
Physics and Astronomy · #hep-th

paper · pdf

published as Nuovo Cim. B114 (1999) 1023-1028 · 6 pages LaTeX, corrected typos, accepted for publication in Il Nuovo Cimento B

arxiv created 1999/08/15 · arxiv updated 2009/11/30

Abstract

The Floreanini-Jackiw formulation of the chiral quantum-mechanical system oscillator is a model of constrained theory with only second-class constraints. in the Dirac's classification.The covariant quantization needs infinite number of auxiliary variables and a Wess-Zumino term. In this paper we investigate the path integral quatization of this model using Guler's canonical formalism. All variables are gauge variables in this formalism. The Siegel's action is obtained using Hamilton-Jacobi formulation of the systems with constraints.

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