A Derivation of the $Z\to\infty$ Limit for Atoms

Physics – Quantum Physics

Scientific paper

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LaTeX with PTPTeX class, 7 pages, no figure

Scientific paper

10.1143/PTP.103.697

Upper and lower bounds are derived for the ground-state energy of neutral
atoms which for $Z\to\infty$ both involve the limits of exact Green's functions
with one-body potentials. The limits of both bounds are shown to coincide with
the Thomas-Fermi ground-state energy.

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