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

Ricardo Cordero-Soto; Sergei K. Suslov

arxiv: 0908.0032 · v3 · submitted 2009-08-01 · 🧮 math-ph · math.MP· quant-ph

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

Ricardo Cordero-Soto , Sergei K. Suslov This is my paper

classification 🧮 math-ph math.MPquant-ph

keywords harmonicoscillatorrelationatomcorrespondingderivedimensionaldual

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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.

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

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