Exact solution of D-dimensional Schrödinger equation generated from certain central power-law potentials

Abstract

Abstract:By applying Extended Transformation method we have generated exact solution of D-dimensional radial Schrödinger equation for a set of power-law multi-term potentials taking singular potentials V (r) = ar3 , V (r) = ar +br −1 +cr 2 and V (r) = ar 2 +br −2 +cr −4 +dr −6 as input reference. The restriction on the parameters of the given potentials and angular momentum quantum number are obtained. The multiplet structure of the generated exactly solvable potentials are also shown. PACS