Some corrections to the Thomas–Fermi theory

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

中国物理B ›› 2013, Vol. 22 ›› Issue (8): 87101-087101.doi: 10.1088/1674-1056/22/8/087101

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Some corrections to the Thomas–Fermi theory

Janusz Chrzanowski

Institute of Physics, Maritime University of Szczecin, 1-2 Waly Chrobrego, Szczecin 70-500, Poland

收稿日期:2012-11-12 修回日期:2013-01-03 出版日期:2013-06-27 发布日期:2013-06-27

Some corrections to the Thomas–Fermi theory

Janusz Chrzanowski

Institute of Physics, Maritime University of Szczecin, 1-2 Waly Chrobrego, Szczecin 70-500, Poland

Received:2012-11-12 Revised:2013-01-03 Online:2013-06-27 Published:2013-06-27
Contact: Janusz Chrzanowski E-mail:j.chrzanowski@am.szczecin.pl

摘要/Abstract

摘要： 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.

关键词: screening parameter, convolution, Fermi surface

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.

Key words: screening parameter, convolution, Fermi surface

中图分类号: (Electron gas, Fermi gas)

71.10.Ca

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)

Janusz Chrzanowski. Some corrections to the Thomas–Fermi theory[J]. 中国物理B, 2013, 22(8): 87101-087101.

Janusz Chrzanowski. Some corrections to the Thomas–Fermi theory[J]. Chin. Phys. B, 2013, 22(8): 87101-087101.

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Some corrections to the Thomas–Fermi theory

Some corrections to the Thomas–Fermi theory

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