The Feshbach-Rubinow approximation, with a modification to take better account of screening, is first applied to an illustrative one-dimensional problem. The same method is then used in realistic two-electron atoms to obtain analytic expressions for the ground-state energy and wave function. Numerical results are presented to show the improvement from earlier unmodified Feshbach-Rubinow calculations.
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Srivastava et al. (1976) studied this question.
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