Differential equation for the determination of a first-degree homogeneous noninteracting kinetic-energy density functional for two-level systems
Differential equation for the determination of a first-degree homogeneous noninteracting kinetic-energy density functional for two-level systems
Faculty of Sciences. Physics

article

2002
Amsterdam
, 2002

Physics

Physics letters: A. - Amsterdam, 1967, currens

302(2002)
:2-3
, p. 55-58

0375-9601

000178359500001

E

English (eng)

University of Antwerp

A differential equation from which the noninteracting kinetic energy density of one-dimensional two-particle (or two-level spherically symmetric closed-shell) systems can be obtained in terms of the ground-state density is derived. In this equation, though non-linear, the kinetic energy density appears only through its various spatial derivatives. With a physically consistent generalization of the normalization constraint, the solution of the differential equation as a functional of the density,gives a first-degree homogeneous two-particle noninteracting kinetic-energy density functional, which can be considered as the second element of a series of first-degree homogeneous density functionals that give the exact noninteracting kinetic energy for densities of a given particle number, the first of which is the Weizsacker functional. (C) 2002 Elsevier Science B.V. All rights reserved.

https://repository.uantwerpen.be/docman/iruaauth/49256d/4f85923.pdf

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