Quantum mechanics on the light cone. I. The spin-zero case

Abstract

In the usual form of quantum mechanics the wavefunctions are defined at instants of time, i.e. over constant time hyperplanes. This work considers the wavefunctions and their operators as acting over past light cones from points on a world line-a special case of Dirac's 'point' form of dynamics. Here the classical light cone generators are quantized. The authors believe these light cone operators, obeying the Poincare group algebra, are new. The hermiticity of these operators and their basis states are discussed.