Covariant Formulation of Classical Spinning Particle

Abstract

Covariantly we reformulate the description of a spinning particle in terms of the Poincare group. We also construct a Lagrangian which entails all possible constraints explicitly; all constraints can be obtained just from the Lagrangian. Furthermore, in this covariant reformulation, the Lorentz element is to be considered to evolve the momentum or spin component from an arbitrary fixed frame and not just from the particle rest frame. Our system which is different from the usual formulation is directly comparable with the pseudoclassical formulation. We get a peculiar symmetry which resembles the supersymmetry of the pseudoclassical formulation.