Expectation Values $<r^p>$ for Harmonic Oscillator in $R^n$
Mathematical Physics
2009-08-06 v3 math.MP
Quantum Physics
Abstract
We evaluate the matrix elements for the -dimensional harmonic oscillator in terms of the dual Hahn polynomials and derive a corresponding three-term recurrence relation and a Pasternack-type reflection relation. A short review of similar results for nonrelativistic hydrogen atom is also given.
Cite
@article{arxiv.0908.0032,
title = {Expectation Values $<r^p>$ for Harmonic Oscillator in $R^n$},
author = {Ricardo Cordero-Soto and Sergei K. Suslov},
journal= {arXiv preprint arXiv:0908.0032},
year = {2009}
}
Comments
7 pages, no figures