Abstract
Dynamics of classical and relativistic particle systems is described on the evolution space, which is a presymplectic manifold. Hamiltonian formalism on presymplectic manifolds is investigated and a prequantization procedure for presymplectic manifolds is constructed. A general Pre-Klein-Gordon equation is defined and the prequantization of classical and relativistic particles discussed. The problem of quantizing presymplectic evolution spaces is for (topologically) regular systems reduced to the symplectic case.
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