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THE EXPANSION OF THE STATISTICAL ATOMIC MODEL WITH THE CORRELATION FUNCTION (in German)

Journal Article · · Annalen der Physik (Leipzig)
An approximate expression for the correlation energy of an electron gas was stated by Lewis for the expansion of the Thomas-Fermi-Dirac equation. The expression in the case of very high electron densities changes into the exact expression derived by Gell-Mann and Brueckner. In the present work it was shown how the expansion of the ThomasFermi-Dirac equation can be traced back, by simplification of the Lewis expression, to the case treated previously by the author (Z. Physik 121, 523(1943)). The correlation energy was represented by an expression derived by Wigner. The solution of the expanded equation is given for several atoms and ions. Calculations were made for the correlation energy of the Xe atom. (tr-auth)
Research Organization:
Polytechnic Univ., Budapest
NSA Number:
NSA-15-017403
OSTI ID:
4016801
Journal Information:
Annalen der Physik (Leipzig), Journal Name: Annalen der Physik (Leipzig) Journal Issue: 1-2 Vol. Vol: (7), 7; ISSN 0003-3804
Country of Publication:
Country unknown/Code not available
Language:
German