  Following the Poincare algebra for a free spinning particle and using the
Casimirs of the algebra in the Hamiltonian approach, we construct
systematically a set of Lagrangians for the relativistic spinning particle
which includes the Lagrangian given in the literature. Then we analyze the
dynamics of this generalized system in the Lagrangian formulation and show that
the equations of motion support an oscillatory solution corresponding to the
spinning nature of the system. Next we analyze the canonical structure of the
system and present the correct gauge suitable for the spinning motion of the
system.

High Energy Physics - Theory