Recurrence formulae determining radial matrix elements of r s , r s (1n r) k and r s d n /dr n between hydrogenic wavefunctions are derived using ladder operators together with the hypervirial theorem. The closed-form expressions are well suited to computing diagonal and off-diagonal matrix elements for any values of the n and l quantum numbers and can easily be programmed on a hand calculator.
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Moreno et al. (1991) studied this question.
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