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Prog. Theor. Phys. Vol. 103 No. 4 (2000) pp. 697-702
A Derivation of the Z→∞ Limit for Atoms
E. B. Manoukian and
J. Osaklung
School of Physics, Suranaree University of Technology
Nakhon Ratchasima 30000, Thailand
(Received October 4, 1999)
Abstract:
Upper and lower bounds are derived for the ground-state energy of neutral atoms which for Z→∞ 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.
URL :
http://ptp.ipap.jp/link?PTP/103/697/
DOI : 10.1143/PTP.103.697
References:
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E. Lieb, Rev. Mod. Phys. 48 (1976), 553[APS].
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E. Lieb, Rev. Mod. Phys. 53 (1981), 603, [APS]and references therein.
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B. Baumgartner, Commun. Math. Phys. 47 (1976), 215[CrossRef].
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