English

The continuity equation and its applications in phase space quantum mechanics

Quantum Physics 2023-11-07 v2

Abstract

A quantum phase space version of the continuity equation for systems with internal degrees of freedom is derived. The 11 -- D Dirac equation is introduced and its phase space counterpart is found. The phase space representation of free motion and of scattering in a nonrelativistic and relativistic case for setups with internal degrees of freedom is discussed and illustrated. Properties of Wigner functions of unbound states are analysed.

Keywords

Cite

@article{arxiv.2307.12046,
  title  = {The continuity equation and its applications in phase space quantum mechanics},
  author = {Jaromir Tosiek and Luca Campobasso},
  journal= {arXiv preprint arXiv:2307.12046},
  year   = {2023}
}

Comments

26 pages, 2 figures

R2 v1 2026-06-28T11:37:37.484Z