GALILEAN INVARIANCE OF THE SCHRODINGER-EQUATION IN THE ADIABATIC APPROXIMATION - THE CENTRAL-FIELD METHOD

In the present work we propose a method for solving the Schrodinger eq uation in the adiabatic approximation within the molecular context. We employ this method to solve problems with non-Galilean invariance, an d an attempt is made to explain some theoretical aspects of it. Simple applications are also considered. This method, which we could call th e central-field method (or linear combination of central fields), enab les a better understanding of the problem of non-Galilean invariance.