Relativistic Wigner Function, Charge Variable and Structure of Position Operator

Abstract

The relativistic phase-space representation by means of the usual position and momentum operators for a class of observables with Weyl symbols independent of charge variable (i.e. with any combination of position and momentum) is proposed. The dynamical equation coincides with its analogue in the non-local theory (generalization of the Newton-Wigner position operator approach) under conditions when particles creation is impossible. Differences reveal themselves in specific constraints on possible initial conditions.

13 pages, no figures, Contribution to the Seventh International Conference on Squeezed States and Uncertainty Relations, Boston, Massachusetts,USA, 4-7 June 2001