English

Relativistic Wigner function and consistent classical limit for spin 1/2 particles

Quantum Physics 2012-08-23 v2 Classical Physics

Abstract

The relativistic Wigner function for spin 1/2 particles is the subject of active research due to diverse applications. However, further progress is hindered by the fabulous complexity of the integro-differential equations of motion. We simplify these equations to partial differential equations of the Dirac type that are not only well suited for numerical computation, but also posses a well defined classical limit in a manifestly covariant form.

Keywords

Cite

@article{arxiv.1107.5139,
  title  = {Relativistic Wigner function and consistent classical limit for spin 1/2 particles},
  author = {Renan Cabrera and Denys I. Bondar and Herschel A. Rabitz},
  journal= {arXiv preprint arXiv:1107.5139},
  year   = {2012}
}

Comments

The paper was completely rewritten. 20 pages

R2 v1 2026-06-21T18:42:11.815Z