Hamilton-Jacobi Formulation of the Reduced Phase Space

Dr. Khaled i. nawafleh

Abstract

In this work two systems of second-class constraints are investigated using the Hamilton-Jacobi formulation approach which is based on the canonical method. We discuss how the integrability conditions enable us to obtain the Hamilton-Jacobi equation in reduced phase space which can be solved in the same manner as for regular systems. The equations of motion are then derived using the canonical transformations.