Absence of a Scott correction for the total binding energy of noninteracting fermions in a smooth potential well

by Huxtable, Barton Duane

Abstract (Summary)
NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. It is shown, for V in a particular class of smooth functions, that the total binding energy, E(Z), of Z noninteracting Fermions in the potential well [...], obeys E(Z) = [...] as [...]. Here [...] is the coefficient predicted by the Thomas-Fermi theory. This result is consistent with the conjectured Scott correction, which occurs at order [...], to the total binding energy of an atom of atomic number Z. This correction is thought to arise only because [...] near x - 0 in the atomic problem, and so V is not a smooth function.
Bibliographical Information:

Advisor:Barry Simon; Steve Koonin

School:California Institute of Technology

School Location:USA - California

Source Type:Master's Thesis



Date of Publication:06/16/1987

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