Abstract

A number of papers dedicated to the description of free particles and antiparticles with zero mass and spin 12 has recently appeared [1–6]. A great many equations with different C, P , T properties have been proposed and the impression could be formed that there are many nonequivalent theories for zero-mass particles. The purpose or this paper is to show that it is not the case and to describe all nonequivalent equations. 1. First we shall formulate the result [1] obtained for a particle of spin 12 in such a form that all principal assertions will be valid for massless particles of arbitraly spin. It has been shown [1] that for a particle of spin 12 three types of nonequivalent twocomponent Poincare-invariant equations exist. These three of equations are equivalent to the Dirac equation

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