Some corrections to the Thomas–Fermi theory

doi:10.1088/1674-1056/22/8/087101

Abstract In the presented model the wave function describing the electron is a superposition of contributions from individual components of the system, in the case of metals–lattice ions and in this sense refers not to a single electron, but rather to the system as a whole. An unconventional approach to the Schrödinger equation can provide a simple analytical relationship between the total energy of the electron and the wave number. This expression can directly determine the basic parameters such as Fermi radius, the screening radius or work function and also produce a graphical interpretation of the Fermi surface.

Keywords: screening parameter convolution Fermi surface

Received: 12 November 2012
Revised: 03 January 2013
Accepted manuscript online:

PACS:	71.10.Ca	(Electron gas, Fermi gas)
	71.15.Nc	(Total energy and cohesive energy calculations)
	71.18.+y	(Fermi surface: calculations and measurements; effective mass, g factor)
	73.30.+y	(Surface double layers, Schottky barriers, and work functions)

Corresponding Authors: Janusz Chrzanowski
E-mail: j.chrzanowski@am.szczecin.pl

Cite this article:

Janusz Chrzanowski Some corrections to the Thomas–Fermi theory 2013 Chin. Phys. B 22 087101

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