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Differential equation for the determination of a first-degree homogeneous noninteracting kinetic-energy density functional for two-level systems
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| Abstract |
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| 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. | |
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English
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| Source (journal) |
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Physics letters: A. - Amsterdam, 1967, currens |
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Amsterdam : 2002
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0375-9601
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302:2-3(2002), p. 55-58
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| ISI |
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000178359500001
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