SINGLE-PARTICLE KINETIC-ENERGY FOR N-FERMIONS IN ONE-DIMENSION - GENERAL AND MODEL RESULTS

被引：3

作者：

KOZLOWSKI, PM ^{[1
]}

MARCH, NH ^{[1
]}

机构：

[1] UNIV OXFORD,DEPT THEORET CHEM,OXFORD OX1 3UB,ENGLAND

来源：

EUROPHYSICS LETTERS | 1990年 / 11卷 / 07期

关键词：

D O I：

10.1209/0295-5075/11/7/006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown by combining the Euler equation of density functional theory with the differential form of the virial theorem that the single-particle kinetic-energy density T,[p], on the minimum, and for N fermions, is a function solely of p, p‘ and 2. This formal result is illustrated by taking the example of a harmonic oscillator with N levels filled. Model forms of Ts and 6Ts then follow. © 1990 IOP Publishing Ltd.

引用

页码：613 / 617

页数：5

共 11 条

[1]

KELLER J, 1983, DENSITY FUNCTIONAL T

[2] APPROXIMATE DENSITY EXTERNAL POTENTIAL RELATION AND THE PAULI POTENTIAL FOR SYSTEMS WITH COULOMBIC INTERACTION [J].

KOZLOWSKI, PM ;

MARCH, NH .

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1989, 36 (06) :741-748

[3] EXACT SINGLE-PARTICLE KINETIC-ENERGY FUNCTIONAL FOR GENERAL 2-LEVEL AND MODEL N-LEVEL ONE-DIMENSIONAL SYSTEMS - DEPENDENCE ONLY ON ELECTRON-DENSITY AND ITS GRADIENT [J].

KOZLOWSKI, PM ;

MARCH, NH .

PHYSICAL REVIEW A, 1989, 39 (08) :4270-4271

[4]

KOZLOWSKI PM, UNPUB J PHYS A

[5] EXACT LOCAL DENSITY METHOD FOR LINEAR HARMONIC-OSCILLATOR [J].

LAWES, GP ;

MARCH, NH .

JOURNAL OF CHEMICAL PHYSICS, 1979, 71 (02) :1007-1009

[6] APPROXIMATE KINETIC-ENERGY RELATIONS IN DENSITY FUNCTIONAL THEORY [J].

MARCH, NH .

JOURNAL OF CHEMICAL PHYSICS, 1981, 74 (04) :2376-2378

[7] ONE-DIMENSIONAL DENSITY-POTENTIAL RELATION FOR INDEPENDENT FERMIONS IN A LOCAL DENSITY APPROXIMATION [J].

MARCH, NH .

JOURNAL OF CHEMICAL PHYSICS, 1977, 67 (12) :5970-5970

[8] APPROXIMATE SOLUTIONS OF THE DENSITY MATRIX EQUATION FOR A LOCAL AVERAGE FIELD [J].

MARCH, NH ;

YOUNG, WH .

NUCLEAR PHYSICS, 1959, 12 (03) :237-240

[9] EXACT DENSITY-POTENTIAL RELATION FOR FERMIONS IN ONE DIMENSION [J].

MARCH, NH .

JOURNAL OF CHEMICAL PHYSICS, 1979, 70 (01) :587-588

[10]

NALEWAJSKI RF, 1988, ACTA PHYS POL A, V74, P287

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