2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55905The 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 $G\ddot{u}ler's$ 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.6 pages LaTeX, corrected typos, accepted for publication in Il Nuovo Cimento BHigh Energy Physics - Theorytext