On the interpretation of the relativity wave equation for two electrons

Abstract

In the general non-relativity quantum dynamics that has been developed by Dirac and others, the motion of a dynamical system is described by a wave function ψ (ξ 1 ... ξ n ; t ); and one interprets this wave function by postulating that |ψ (ξ 1 ' ξ 2 ' ... ξ n ' ; t ) | 2 d ξ 1 ' ... d ξ n ' is the probability that, at time t ξ r ' ≤ ξ r ≤ ξ r ' + d ξ r ' ( r = 1 ... n ). The relativity wave function for a single electron can be interpreted in a similar manner. If ψ( xyzt ) be the wave function, and φ the conjugate function, then φψ ( xyzt ) dx dy dz : is the probability that the electron will be found, at time t , in the volume element dx dy dz .