Total Current Operator and its Classical Correspondence for Particles Bounded in Central Force Fields

When a particle is bounded in a central force field, the only nonvanishing component of the mean value for current density is along the azimuthal direction; and the total current can therefore be defined. It is found that the total current is in fact a mean value of a newly defined total current operator in the quantum mechanical state. Not only the total current operator itself but also the mean total current has exact classical correspondence.