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

Citation

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

Abstract

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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
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Simon, Barry M.
Thesis Committee:
  • Unknown, Unknown
Defense Date:16 June 1987
Author Email:bhuxtable (AT) usersystems.com
Record Number:CaltechETD:etd-09062005-101909
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-09062005-101909
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3349
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:06 Sep 2005
Last Modified:26 Dec 2012 02:59

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