The Wigner-Weyl formalism and the semi-classical relativistic approximation
J. Mourad
TL;DR
This paper explores the relativistic semi-classical approximation for free particles using the Wigner-Weyl formalism, proposing a non-covariant Wigner function and analyzing causality in the evolution.
Contribution
It introduces a non-covariant Wigner function based on the Newton-Wigner position operator and provides a perturbative solution for the time evolution.
Findings
Causality is perturbatively respected in the approximation.
A non-covariant Wigner function is successfully formulated.
Perturbative solutions for time evolution are derived.
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum Mechanics and Applications · Statistical Mechanics and Entropy · Cosmology and Gravitation Theories