HARMONIC-POTENTIAL THEOREM - IMPLICATIONS FOR APPROXIMATE MANY-BODY THEORIES

被引：281

作者：

DOBSON, JF ^{[1
]}

机构：

[1] UNIV CALIF SANTA BARBARA,INST THEORET PHYS,SANTA BARBARA,CA 93106

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 73卷 / 16期

关键词：

D O I：

10.1103/PhysRevLett.73.2244

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider interacting particles in an external harmonic potential. We extend the B = 0 case of the generalized Kohn theorem, giving a ''harmonic-potential theorem'' (HPT), demonstrating rigid, arbitrary-amplitude, time-oscillatory Schrodinger transport of a many-body eigenfunction. We show analytically that the time-dependent local-density approximation (TDLDA) satisfies the HPT exactly. Other approximations, such as linearized TDLDA with frequency-dependent exchange correlation kernel and certain inhomogeneous hydrodynamic formalisms, do not. A simple modification permits such explicitly frequency-dependent local theories to satisfy the HPT, however.

引用

页码：2244 / 2247

页数：4

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