Fine structure and analytical quantum-defect wave functions

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American Physical Society

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We investigate the domain of validity of previously proposed analytical wave functions for atomic quantum-defect theory. This is done by considering the fine-structure splitting of alkali-metal and singly ionized alkaline-earth atoms. The Landé formula is found to be naturally incorporated. A supersymmetric-type integer is necessary for finite results. Calculated splittings correctly reproduce the principal features of experimental values for alkali-like atoms.

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Kostelecký, V. A., Nieto, M. M., & Truax, D. R. (1988). Fine structure and analytical quantum-defect wave functions. Physical Review A, 38(9), 4413-4418. http://dx.doi.org/10.1103/PhysRevA.38.4413

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© 1988 American Physical Society.