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arXiv · 2307.12046

The continuity equation and its applications in phase space quantum mechanics

Jaromir Tosiek·Luca Campobasso
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Abstract

A quantum phase space version of the continuity equation for systems with internal degrees of freedom is derived. The $1$ -- 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.

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Jaromir Tosiek, Luca Campobasso. 2023-07-22. The continuity equation and its applications in phase space quantum mechanics. https://arxiv.org/abs/2307.12046

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