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

T. Gál, N. H. March, A. Nagy

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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 Weizsäcker functional.

Original languageEnglish
Pages (from-to)55-58
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume302
Issue number2-3
DOIs
Publication statusPublished - Sep 16 2002

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differential equations
flux density
kinetic energy
functionals
ground state

Keywords

  • First-degree homogeneity
  • Generalized normalization
  • Noninteracting kinetic energy
  • Two-particle density functionals
  • Weizsäcker functional

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "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 Weizs{\"a}cker functional.",
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T1 - Differential equation for the determination of a first-degree homogeneous noninteracting kinetic-energy density functional for two-level systems

AU - Gál, T.

AU - March, N. H.

AU - Nagy, A.

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Y1 - 2002/9/16

N2 - 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 Weizsäcker functional.

AB - 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 Weizsäcker functional.

KW - First-degree homogeneity

KW - Generalized normalization

KW - Noninteracting kinetic energy

KW - Two-particle density functionals

KW - Weizsäcker functional

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