A COVARIANT FORMULATION OF CLASSICAL SPINNING PARTICLE

Covariantly we reformulate the description of a spinning particle in t erms of the Poincare group. We also construct a Lagrangian which entai ls all possible constraints explicitly; all constraints can be obtaine d just from the Lagrangian. Furthermore, in this covariant reformulati on, the Lorentz element is to be considered to evolve the momentum or spin component from an arbitrary fixed frame and not just from the par ticle rest frame. Our system which is different from the usual formula tion is directly comparable with the pseudoclassical formulation. We g et a peculiar symmetry which resembles the supersymmetry of the pseudo classical formulation.