GENERALIZATION OF TEMPLES LOWER BOUND TO EIGENVALUES

被引：8

作者：

COHEN, M ^{[1
]}

FELDMANN, T ^{[1
]}

机构：

[1] HEBREW UNIV JERUSALEM,INST ADV STUDIES,JERUSALEM 91000,ISRAEL

来源：

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS | 1979年 / 12卷 / 17期

关键词：

D O I：

10.1088/0022-3700/12/17/007

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Temple's classic lower bound to eigenvalues (1928) has been strengthened by using a set of approximate eigenfunctions, instead of a single approximation, to calculate first and second moments of the system Hamiltonian. The improved accuracy, for both ground and excited states, can be considerable.

引用

页码：2771 / 2779

页数：9

共 6 条

[1] LAGRANGE MULTIPLIERS AND BOUNDS TO QUANTUM-MECHANICAL PROPERTIES .2. [J].

COHEN, M ;

FELDMANN, T .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1976, 9 (10) :1617-1630

[2] ON THE UPPER AND LOWER BOUNDS OF EIGENVALUES [J].

KATO, T .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1949, 4 (4-6) :334-339

[3]

Lowdin, 1972, ADV QUANTUM CHEM, V6, P299

[4] Successive approximations by the Rayleigh-Ritz variation method [J].

MacDonald, JKL .

PHYSICAL REVIEW, 1933, 43 (10) :0830-0833

[5] IMPROVED EQUATION FOR LOWER BOUNDS TO EIGENVALUES - BOUNDS FOR SECOND-ORDER PERTURBATION ENERGY [J].

MILLER, WH .

JOURNAL OF CHEMICAL PHYSICS, 1969, 50 (06) :2758-&

[6] The theory of Rayleigh's principle as applied to continuous systems [J].

Temple, G .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1928, 119 (782) :276-293

← 1 →