Symmetry of the Schrödinger Equation with Variable Potential

We study symmetry properties of the Schrodinger equation with the potential as a new dependent variable, i.e., the transformations which do not change the form of the class of equations. We also consider systems of the Schrodinger equations with certain conditions on the potential. In addition we investigate symmetry properties of the equation with convection term. The contact transformations of the Schrodinger equation with potential are obtained.