Complete functional theory for the fermion density of independent particles subject to harmonic confinement in d dimensions for an arbitrary number of closed shells

被引：0
|
作者：
Howard, I.A. [1 ]
March, N.H. [1 ,2 ]
Nieto, L.M. [3 ]
机构：
[1] Department of Physics, University of Antwerp (RUCA), Groenenborgerlaan 171, 2020 Antwerp, Belgium
[2] Oxford University, Oxford, United Kingdom
[3] Departamento de Fisica Teorica, Universidad de Valladolid, 47005 Valladolid, Spain
来源：
Physical Review A - Atomic, Molecular, and Optical Physics | 2002年 / 66卷 / 05期
关键词：
Charged particles - Differential equations - Differentiation (calculus) - Fermions - Harmonic generation - Integration - Kinetic energy - Probability density function - Variational techniques;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An experiment on harmonically confined fermions has motivated a theoretical study. What has emerged for harmonic confinement is the exact result for the single-particle kinetic energy, which requires only the fermion density p(r) for d dimensions with (M+1) closed shells for its evaluation. Thus, it is fair to claim that the experiments had motivated a full density-functional theory in d dimensions for harmonically confined independent fermions, for an arbitrary number of closed shells.
引用
收藏
页码：1 / 054501
相关论文
共 3 条
1