Expectation Values $<r^p>$ for Harmonic Oscillator in $R^n$

Abstract

We evaluate the matrix elements $<r^p>$ for the $n$ -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.

7 pages, no figures

References in corpus (2)

• The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
• Expectation Values in Relativistic Coulomb Problems

Cited by in corpus (1)

• Application of Modified Hypervirial and Ehrenfest Theorems and Some of its Consequences