Slater sum for an inhomogeneous liquid of Fermions generated by a <tex>$sech^{2}x$</tex> potential in one dimension
Slater sum for an inhomogeneous liquid of Fermions generated by a <tex>$sech^{2}x$</tex> potential in one dimension
Faculty of Sciences. Physics

article

2010
London
, 2010

Physics

Physics and chemistry of liquids. - London

48(2010)
:2
, p. 285-287

0031-9104

000277647300011

E

English (eng)

University of Antwerp

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.

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