The normalized wavefunctions of the Hartmann potential and explicit expressions for their radial average values. (English) Zbl 1005.81023

Summary: In this letter, we obtain the normalized polar angle wavefunctions and the normalized radial wavefunctions for the Hartmann potential in the spherical coordinate system. Two recurrence formulas for their radial average values are derived. The explicit functions \(\langle n^\prime l^\prime|r^s|n^\prime l^\prime\rangle\) are then listed for \(6\leqslant s\leqslant-3\).


81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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