Huxtable, Barton Duane (1988) Absence of a Scott correction for the total binding energy of noninteracting fermions in a smooth potential well. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-09062005-101909
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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.
|Item Type:||Thesis (Dissertation (Ph.D.))|
|Subject Keywords:||atomic physics; quantum mechanics; Scott correction; semi-classical approximation; Thomas-Fermi theory|
|Degree Grantor:||California Institute of Technology|
|Division:||Physics, Mathematics and Astronomy|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||16 June 1987|
|Author Email:||bhuxtable (AT) usersystems.com|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||06 Sep 2005|
|Last Modified:||26 Dec 2012 02:59|
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