Nonrelativistic shifted-l expansion technique for three- and two-dimensional Schrodinger equation

Abstract

The shifted-l expansion techniques (SLET) has been developed to get eigenvalues of Schrodinger equation in three (3D) and two dimensions (2D). SLET simply consists of 1/(l) over bar as a perturbation parameter, where (l) over bar = l - beta. beta is a suitable shift, l is the angular-momentum quantum number for the 3D-case, l = \m\ for the 2D-case, and m is the magnetic quantum number. Unlike the shifted large-N expansion theory (SLNT), SLET seems to be applicable to a wider number of problems of significant interest in physics.