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A Derivation of the Z -> Limit for Atoms
Author(s) -
E. B. Manoukian,
J. Osaklung
Publication year - 2000
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.103.697
Subject(s) - physics , limit (mathematics) , ground state , fermi gamma ray space telescope , energetic neutral atom , bound state , state (computer science) , energy (signal processing) , quantum mechanics , upper and lower bounds , atomic physics , mathematical physics , quantum electrodynamics , mathematical analysis , ion , mathematics , algorithm , computer science
Upper and lower bounds are derived for the ground-state energy of neutralatoms which for $Z\to\infty$ both involve the limits of exact Green's functionswith one-body potentials. The limits of both bounds are shown to coincide withthe Thomas-Fermi ground-state energy.Comment: LaTeX with PTPTeX class, 7 pages, no figur

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