Covariant relativistic quantum theory

Details Covariant relativistic quantum theory Covariant relativistic quantum theory

2000-11-20

arxiv.org/abs/hep-th/0011180v1

Physics

High Energy Physics

High Energy Physics - Theory

19 page ps file. Tex file covqmp.tex uses mtexsis.tex macro(included)

Scientific paper

Covariant classical particle dynamics is described, and the associated covariant relativistic particle quantum mechanics is derived. The invariant symmetric bracket is defined on the space of quantum amplitudes, and its relation to a generalized Hamiltonian dynamics and to a covariant Schr\"odinger type equation is shown. Examples for relativistic potential problems are solved. Mathematically and physically acceptable probability densities for the Klein-Gordon equation and for the Dirac equation are derived, and a new continuity equation for each case is given. The quantum distribution for mass is discussed, and unambiguous representations of four-velocity and four-acceleration operators are given.

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