Abstract
A new procedure for generating approximate valence and Rydberg orbitals is proposed. The method involves the analytic determination of the eigenfunctions of a model Hamiltonian and leads to orbitals which are functions of quantum numbers and quantum defects. The new functions are shown to be similar to previously obtained orbitals and are used to derive a general formula for transition integrals. Illustrative results for Li and Be+ are excellent; results for Na, K, and Mg are satisfactory.
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