Title
|
|
|
|
Slater sum for an inhomogeneous liquid of Fermions generated by a potential in one dimension
| |
Author
|
|
|
|
| |
Abstract
|
|
|
|
In one dimension, the Slater sum S(x, β), which is the diagonal element of the canonical density matrix, satisfies a known partial differential equation characterised by a one-body potential V(x). Here, for the case of a sech2 x potential in one dimension, it is stressed that S(x, β) is explicitly related to the limit S0(β) as V(x) → 0 and to V(x) itself. This is the same input information as in the Thomas-Fermi result. The relevance to density functional theory is emphasised. |
| |
Language
|
|
|
|
English
| |
Source (journal)
|
|
|
|
Physics and chemistry of liquids. - London
| |
Publication
|
|
|
|
London
:
2010
| |
ISSN
|
|
|
|
0031-9104
| |
DOI
|
|
|
|
10.1080/00319100903502288
| |
Volume/pages
|
|
|
|
48
:2
(2010)
, p. 285-287
| |
ISI
|
|
|
|
000277647300011
| |
Full text (Publisher's DOI)
|
|
|
|
| |
|