Nonrelativistic shifted-l expansion technique for three- and two-dimensional Schrodinger equation
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
The shifted-l expansion technique (SLET) has been developed to get eigenvalues of Schrodinger equation in three (3D) and two dimensions (2D). SLET simply consists of 1/\bar{l} as a perturbation parameter, where \bar{l}=l-\beta, \beta is a suitable shift, l is the angular momentum quantum number for 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.
Keywords
Cite
@article{arxiv.math-ph/9910040,
title = {Nonrelativistic shifted-l expansion technique for three- and two-dimensional Schrodinger equation},
author = {Omar Mustafa and Thabit Barakat},
journal= {arXiv preprint arXiv:math-ph/9910040},
year = {2007}
}
Comments
16 pages, Latex file