### 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 language | English |
---|---|

Pages (from-to) | 55-58 |

Number of pages | 4 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 302 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - Sep 16 2002 |

### Fingerprint

### 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

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*302*(2-3), 55-58. https://doi.org/10.1016/S0375-9601(02)01141-6

**Differential equation for the determination of a first-degree homogeneous noninteracting kinetic-energy density functional for two-level systems.** / Gál, T.; March, N. H.; Nagy, A.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 302, no. 2-3, pp. 55-58. https://doi.org/10.1016/S0375-9601(02)01141-6

}

TY - JOUR

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.

PY - 2002/9/16

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

UR - http://www.scopus.com/inward/record.url?scp=0037120102&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037120102&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(02)01141-6

DO - 10.1016/S0375-9601(02)01141-6

M3 - Article

AN - SCOPUS:0037120102

VL - 302

SP - 55

EP - 58

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 2-3

ER -