Quantization of Floreanini-Jackiw chiral harmonic oscillator

The Floreanini-Jackiw formulation of the chiral quantum-mechanical system oscillator is a model of constrained theory with only secondclass 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 Gülers 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.