American Journal of Physics

A simple derivation of the recursion relation for 〈rN〉 in energy eigenstates

S. Balasubramanian

Published Oct 1, 2000• 6 citations

Abstract

A simple derivation based on the generalized Hellmann–Feynman theorem is given for the three-term recursion relation for 〈rN〉 in the energy eigenstates of a hydrogenic atom and the harmonic oscillator in one, two, and three dimensions.

DOI: 10.1119/1.1287351

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