Symmetry of the Schrodinger Equation with Variable Potential
Abstract
We study symmetry properties of the Schrödinger 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 Schrödinger equations with certain conditions on the potential. In addition we investigate symmetry properties of the equation with convection term. The contact transformations of the Schrödinger equation with potential are obtained.
 Publication:

Journal of Nonlinear Mathematical Physics
 Pub Date:
 1998
 DOI:
 10.2991/jnmp.1998.5.1.3
 arXiv:
 arXiv:mathph/9801201
 Bibcode:
 1998JNMP....5...13F
 Keywords:

 Mathematical Physics
 EPrint:
 J. Nonlinear Math. Phys. 5 (1998), no. 1, 1322