New representations of Poincare group for consistent Relativistic Particle Theories

Abstract

Abstract The class of representations of the Poincare group for the formulation of relativistic quantum theories of single particle is consistently extended. In so doing new species of such representations are singled out. By making use of the enlarged class quantum theories of Klein-Gordon free particle are formulated without the problems suffered by the early theory. Furthermore, new species of consistent theories can be developed.