Publication
Title
Some model inhomogeneous electron liquid in D dimensions : relation between energy and chemical potential and a spatial generalisation of Kato's nuclear cusp theorem
Author
Abstract
After a brief survey on the application of the Thomas-Fermi statistical method to bare Coulomb potential satisfying Laplace equation in D dimensions, which then relates energy and chemical potential, we next focus attention on model atomic ions with merely one and two electrons in D dimensions. In particular, for a bare Coulomb field we use the nodeless radial eigenfunctions given by Herschbach in D dimensions to derive the spatial generalization of Kato's nuclear cusp theorem in D dimensions for D>1. The unbinding of H- as a function of dimensionality D is also briefly referred.
Language
English
Source (journal)
Physics and chemistry of liquids. - London
Publication
London : 2012
ISSN
0031-9104
Volume/pages
50:2(2012), p. 266-270
ISI
000304271100011
Full text (Publisher's DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.07.2012
Last edited 15.11.2017
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