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oai:recercat.cat:2445/245222025-11-19T20:28:00Zcom_2072_1057col_2072_478822col_2072_478917

00925njm 22002777a 4500 dc Iranzo Fernández, Vicente author Llosa, Josep author Marqués Truyol, Francisco author Molina, Alfred author 2012-04-26T08:06:17Z 2012-04-26T08:06:17Z 1983 In the Hamiltonian formulation of predictive relativistic systems, the canonical coordinates cannot be the physical positions. The relation between them is given by the individuality differential equations. However, due to the arbitrariness in the choice of Cauchy data, there is a wide family of solutions for these equations. In general, those solutions do not satisfy the condition of constancy of velocities moduli, and therefore we have to reparametrize the world lines into the proper time. We derive here a condition on the Cauchy data for the individuality equations which ensures the constancy of the velocities moduli and makes the reparametrization unnecessary. Equacions diferencials Sistemes hamiltonians Mecànica relativista Velocitat Geometria diferencial Differential equations Hamiltonian systems Relativistic mechanics Speed Differential geometry The problem of physical coordinates in predictive Hamiltonian systems