On probability flow descriptors in position and momentum spaces

Abstract

The current density concepts of the position and momentum probability distributions are examined and the associated continuity equations are explored. The modified flow measure in the momentum-space is introduced in terms of which the nonclassical (current-related) functionals of the entropy/information content in quantum states assume forms isomorphic with the corresponding position-space expressions, when expressed in terms of the state modulus (density) and phase (current) degrees-of-freedom. These concepts are illustrated for the stationary states as well as the plane waves and wave packets of the free particle