This work was supported in part by the National Science Foundation under Grant No. ECS-9014481.
Physical Review A
Dirac equation, Quantum mechanics, Density functionals
Dirac's equation provides the most rigorous basis known for many calculations in relativistic quantum mechanics. A set of dynamical equations having greater intuitive content can be derived from Dirac's equation without any approximations. These secondary equations govern the properties of a Dirac particle as functions of time and space and are similar to the corresponding equations governing a classical charged fluid. Several new density functions are implied by these equations and are appropriate for incorporation into the various semiclassical models of physics.
Casperson, L. W. (1995). Dirac's equation in semiclassical physics. Physical Review A (Atomic, Molecular, And Optical Physics), 51(2), 1673-1676.