Motion of a classical particle with spin. I. The canonical theory of multipliers

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Abstract
Using Dirac's theory of canonical multipliers (as modified by Shanmugadhasan, 1973), the author investigates and derives the complete canonical formalism for a well-known relativistic model of a classical spinning particle (generalised to include asymmetry). While the procedure is well known from existing dynamical theory, its application to a relativistic asymmetric particle or top has not before been attempted. In the past, ad hoc means have been found for the formulation of a Hamiltonian method, and these have led to incomplete pictures for the model considered. The formalism restates many well known results, using the calculus of Dirac brackets, but some new results are also given. Paper I deals with the problem in general and explains the calculation of the complete set of constraints, the multipliers and the Hamiltonian equations for the model.

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