Higher spin relativistic wave-equations

Abstract

In this work we have undertaken the study of some aspects of higher spin relativistic wave equations of the first order. These aspects are their definiteness of charge, their second quantization and their causal propagation. The work is divided into three parts. In part one we have studied the Bhabha equations based on the sixteen and twenty dimensional representations and showed that the charge associated with them is indefinite. In part two we have studied in detail the Gel'fand Yaglom equations and showed that certain equations can have definite charge. Finally in part three we have studied the propagation in the external electromagnetic field of certain higher spin relativistic wave equations.