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The continuity equation and its applications in phase space quantum mechanics

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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