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We present the results of some new calculations on two atomic problems---the correlation energy in the ground state of 2-electron atoms, and elastic scattering of slow electrons from hydrogen atoms---to show the relative importance of various angular components of the complete wave function. We conclude that, as a general rule, the use of just (relative) s and p waves will give quite accurate answers---with only a few percent errors at most; but to obtain higher precision one should abandon the Legendre polynomial expansion and use the coordinate r₁₂.
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Charles Schwartz (Tue,) studied this question.
www.synapsesocial.com/papers/6a06be4a6b3d000707583000 — DOI: https://doi.org/10.1103/physrev.126.1015
Charles Schwartz
Physical Review
University of California, Berkeley
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