New exact treatment of the perturbed Coulomb interactions

Abstract

A novel method for the exact solvability of quantum systems is discussed and used to obtain closed analytical expressions in arbitrary dimensions for the exact solutions of the hydrogenic atom in the external potential $\Delta V(r)=br+cr^{2}$, which is based on the recently introduced supersymmetric perturbation theory.Comment: 6 pages article in LaTEX (uses standard article.sty). No Figures. Please check "http://www1.gantep.edu.tr/~ozer/" for other studies of Nuclear Physics Group at University of Gaziante