Covariant observer-dependent Hamiltonian formalism for the relativistic particle

MARIO CASTAGNINO; RAFAEL FERRARO; CLAUDIA YASTREMIZ

PHYSICAL REVIEW D - PARTICLE AND FILDS

The American Physical Society

Año: 1987 vol. 35 p. 540 - 543

0556-2821

We show that it is possible to formulate the canonical Hamiltonian formalism for the relativistic particle, in a covariant fashion and without some well-known problems, when we introduce the concept of a reference system to establish the notions of time and space. Starting from the observer-dependent Hamiltonian formalism, we obtain the result that the wave function describing the quantum behavior of the particle must be observer dependent and we give the corresponding wave equation.