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arxiv: hep-th/9307135 · v1 · submitted 1993-07-21 · ✦ hep-th

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The Wigner-Weyl formalism and the semi-classical relativistic approximation

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classification ✦ hep-th
keywords approximationformalismfoundrelativisticsemi-classicalwigner-weylcausalityevolution
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The relativistic semi-classical approximation for a free massive particle is studied using the Wigner-Weyl formalism. A non-covariant Wigner function is proposed using the Newton-Wigner position operator. The perturbative solution for the time evolution is found. Causality is found to be perturbatively respected.

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