Abstrakt: |
This is the first of a series of papers preparing the mathematical framework for a past light-cone formulation for the quantum mechanics of particles of arbitrary mass and spin. The aim of past light-cone quantum theory is to define quantum states solely in terms of data accessible to an observer, i.e., information from within his current past light cone. In order to set up such a theory one needs to define on the past light cone complete orthonormal sets of functions that belong to the appropriate unitary irreducible representation of the Poincaré group. Such functions are interpreted as energy-momentum eigenfunctions. The present paper treats the discrete spin, zero mass case for all values of the helicity s=0, 1/2 , (3)/(2) ,. . . . [ABSTRACT FROM AUTHOR] |