Equations of motion in odd-dimensional spaces and T-, C-invariance

2002/06/11 by Wilhelm I. Fushchych
Physics and Astronomy · Mathematics · #quant-ph #math-ph #math.MP #nlin.SI

paper · pdf

published as Preprint of Institute of Theor. Phys., N 69-17, Kiev, 1969, 13 p · 7 pages

arxiv created 2002/06/11 · arxiv updated 2009/11/30

Abstract

The properties of the equation of Dirac type in three-dimensional and five-dimensional Minkowski space-time with respect to time reflection (in sense of Pauli and Wigner) as well as to the operation of charge conjugation are investigated. P-, T-, C-invariance of Dirac equation for the cases of four components (in three-dimentional space) and eight components (in five-dimensional space) is established. Within the framework of the Poincare group a relativistic equation is suggested wich describes the movement of a particle with non-fixed (indefinite) mass in external electromagnetic field.

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