| 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) |
|
|
| | |
|