Relativistic Wigner Function, Charge Variable and Structure of Position Operator

B. I. Lev; A. A. Semenov; C. V. Usenko

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arXiv · quant-ph/0112122

Relativistic Wigner Function, Charge Variable and Structure of Position Operator

B. I. Lev·A. A. Semenov·C. V. Usenko

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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.

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B. I. Lev, A. A. Semenov, C. V. Usenko. 2001-12-20. Relativistic Wigner Function, Charge Variable and Structure of Position Operator. https://arxiv.org/abs/quant-ph/0112122

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