Unified treatment of screening Coulomb and anharmonic oscillator potentials in arbitrary dimensions

Abstract

A mapping is obtained relating radial screened Coulomb systems with low screening parameters to radial anharmonic oscillators in N-dimensional space. Using the formalism of supersymmetric quantum mechanics, it is shown that exact solutions of these potentials exist when the parameters satisfy certain constraints.

14 pages article in LaTEX (uses standard article.sty). No figure. Please check "http://www1.gantep.edu.tr/~ozer/" for other studies of Nuclear Physics Group at University of Gaziantep