Quantum mechanical corrections to the Alfven waves
  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. 
Miroslav Pardy