  In the present communication the Bayesian conditional probability approach is
applied to the wave function of a many-electron system that results in
appearance of a quantum vector potential in the DFT Schrodinger equation due to
electron correlation, apart from the correlation energy term. Mathematically,
the effect of this vector potential is equivalent to a magnetic field that
corresponds in particular to a conservative irrotational one if it is
considered in connection with the correlation potential. An analysis of the
effect of the correlation momentum on the electronic transitions suggested that
the electron correlation increases the transition probability.
