EXACT THEOREMS CONCERNING NONINTERACTING KINETIC-ENERGY DENSITY-FUNCTIONAL IN D DIMENSIONS AND THEIR IMPLICATIONS FOR GRADIENT EXPANSIONS

被引：32

作者：

HOLAS, A ^{[1
]}

MARCH, NH ^{[1
]}

机构：

[1] POLISH ACAD SCI,INST PHYS CHEM,PL-01224 WARSAW,POLAND

来源：

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 1995年 / 56卷 / 04期

关键词：

D O I：

10.1002/qua.560560423

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The focal point of the present work is the single-particle kinetic energy density tenser in D dimensions. This quantity enters both differential and various integral forms of the virial theorems, which are again set up in D dimensions. Major new results lie in (i) demonstrating that, by one-dimensional quadrature, it is possible to construct the Pauli potential directly from the kinetic energy tenser, without the need for functional differentiation and (ii) generating the gradient expansion for the kinetic energy tenser, in D dimensions. (C) 1995 John Wiley & Sons, Inc.

引用

页码：371 / 383

页数：13

共 12 条

[1] HYPERVIRIAL RELATIONS BETWEEN GROUND-STATE PARTICLE DENSITY, KINETIC-ENERGY DENSITY, AND POTENTIAL IN 3 DIMENSIONS [J].