English

Relativistic Wigner Function, Charge Variable and Structure of Position Operator

Quantum Physics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.quant-ph/0112122,
  title  = {Relativistic Wigner Function, Charge Variable and Structure of Position Operator},
  author = {B. I. Lev and A. A. Semenov and C. V. Usenko},
  journal= {arXiv preprint arXiv:quant-ph/0112122},
  year   = {2007}
}

Comments

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