  The hydrodynamical model of quantum mechanics based on the Schroedinger
equation is combined with the magnetohydrodynamical term to form so called
quantum magnetohydrodynamic equation. It is shown that the quantum correction
to the Alfven waves follows from this new equation. The possible generalization
is considered for the so called nonlinear Schroedinger equation and for the
situation where dissipation is described by the Navier-Stokes equation.
