Study of a class of non-polynomial oscillator potentials
Mathematical Physics
2009-11-11 v1 math.MP
Abstract
We develop a variational method to obtain accurate bounds for the eigenenergies of H = -Delta + V in arbitrary dimensions N>1, where V(r) is the nonpolynomial oscillator potential V(r) = r^2 + lambda r^2/(1+gr^2), lambda in (-infinity,\infinity), g>0. The variational bounds are compared with results previously obtained in the literature. An infinite set of exact solutions is also obtained and used as a source of comparison eigenvalues.
Keywords
Cite
@article{arxiv.math-ph/0605056,
title = {Study of a class of non-polynomial oscillator potentials},
author = {Nasser Saad and Richard L. Hall and Hakan Ciftci},
journal= {arXiv preprint arXiv:math-ph/0605056},
year = {2009}
}
Comments
16 pages