IMPROVED EQUATION FOR LOWER BOUNDS TO EIGENVALUES - BOUNDS FOR SECOND-ORDER PERTURBATION ENERGY

被引：26

作者：

MILLER, WH

机构：

[1] Department of Chemistry, Harvard University, Cambridge

来源：

JOURNAL OF CHEMICAL PHYSICS | 1969年 / 50卷 / 06期

关键词：

D O I：

10.1063/1.1671442

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：

Using the bounding theorems given by Eqs. (1) and (2), an improved equation for lower bounds to eigenvalues is obtained [Eq. (8) J. This improved result is a generalization of an earlier lower-bound equation given by Gay and another given by Miller. A numerical application to the ground state of the two-electron atom is presented. Upper and lower bounds for the second-order perturbation energy are also presented, and a general upper bound for inverse operators is obtained.

引用

页码：2758 / &

共 13 条

[1] LOWER BOUNDS FOR EIGENVALUES OF SCHRODINGERS EQUATION [J].