Covariant observer-dependent Hamiltonian formalism for the relativistic particle

Details Covariant observer-dependent Hamiltonian formalism for the relativistic particle Covariant observer-dependent Hamiltonian formalism for the relativistic particle

Jan 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..35..540f&link_type=abstract

Physical Review D (Particles and Fields), Volume 35, Issue 2, 15 January 1987, pp.540-543

Physics

2

Fundamental Problems And General Formalism, Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

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.

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