  A nonlinear kinetic equation for nonrelativistic quantum plasma with
electromagnetic interaction of particles is obtained in the Hartree's
mean-field approximation. It is cast in a convenient form of
Vlasov-Boltzmann-type equation with "quantum interference integral", that
allows for relatively straightforward modification of existing classical Vlasov
codes to incorporate quantum effects (quantum statistics and quantum
interference of overlapping particles wave functions), without changing the
bulk of the codes. Such modification (upgrade) of existing Vlasov codes may
provide a direct and effective path to numerical simulations of nonlinear
electrostatic and electromagnetic phenomena in quantum plasmas, especially of
processes where kinetic effects are important (e.g., modulational interactions
and stimulated scattering phenomena involving plasma modes at short wavelengths
or high-order kinetic modes, dynamical screening and interaction of charges in
quantum plasma, etc.) Moreover, numerical approaches involving such modified
Vlasov codes would provide a useful basis for theoretical analyses of quantum
plasmas, as quantum and classical effects can be easily separated there.
