DRESSING OF ZERO-RANGE POTENTIALS INTO REALISTIC MOLECULAR POTENTIALS OF FINITE RANGE

Abstract

The zero-range potentials of the radial Schrodinger equation and their dressing are investigated. A sequence of Darboux transformations involving a set of parameters yields solvable potentials of a finite-range with physically meaningful properties. In particular, the newly obtained potential is matched to that resulting from the ab initio computation methods in terms of discrete and continuous spectrum parameters. The approach, being a companion to conventional quantum simulation methods, combines symbolical and numerical calculations and is expected to work best for molecules with high spherical symmetry, typically fullerenes.