Part of the D - dimensional anharmonic oscillator spectra
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
The pseudoperturbative shifted - expansion technique PSLET [12,16] is generalized for states with arbitrary number of nodal zeros. Interdimensional degeneracies, emerging from the isomorphism between angular momentum and dimensionality of the central force Schr\"odinger equation, are used to construct part of the D - dimensional anharmonic oscillator bound - state spectra. PSLET results are found to compare excellently with those from a series [5], exact and open perturbation [9] solutions.
Keywords
Cite
@article{arxiv.math-ph/0101031,
title = {Part of the D - dimensional anharmonic oscillator spectra},
author = {Omar Mustafa and Maen Odeh},
journal= {arXiv preprint arXiv:math-ph/0101031},
year = {2007}
}
Comments
21 pages, Latex file, submitted for publication