Title
Some model inhomogeneous electron liquid in D dimensions : relation between energy and chemical potential and a spatial generalisation of Kato's nuclear cusp theoremSome model inhomogeneous electron liquid in D dimensions : relation between energy and chemical potential and a spatial generalisation of Kato's nuclear cusp theorem
Author
Faculty/Department
Faculty of Sciences. Physics
Research group
Department of Physics
Publication type
article
Publication
London,
Subject
Physics
Chemistry
Source (journal)
Physics and chemistry of liquids. - London
Volume/pages
50(2012):2, p. 266-270
ISSN
0031-9104
ISI
000304271100011
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
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