A RELATION BETWEEN 2 PERTURBATION-METHODS GENERATING PADE UPPER AND LOWER BOUNDS TO GROUND-STATE EIGENVALUES

被引：0

作者：

KHALIL, AB ^{[1
]}

机构：

[1] UNIV CAIRO,FAC SCI,DEPT MATH,GIZA,EGYPT

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1992年 / 33卷 / 02期

关键词：

D O I：

10.1063/1.529799

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A reciprocal relation is established between the mean values of the resolvent of the Hamiltonian of a quantum mechanical system and an operator, the zeros of which give rise to the Brillouin-Wigner perturbation series. Also discussed are the consequences of this relation to the Rayleigh-Schrodinger and Brillouin-Wigner approaches for getting Pade approximants upper and lower bounds for the ground state eigenvalue.

引用

页码：639 / 642

页数：4

共 28 条

[1] Lower bounds to ground-state eigenvalues
Marmorino, MG
[J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2002, 32 (01) : 19 - 29
[2] Lower Bounds to Ground-State Eigenvalues
M.G. Marmorino
[J]. Journal of Mathematical Chemistry, 2002, 32 : 19 - 29
[3] Lower bounds to ground-state eigenvalues II
Marmorino, MG
[J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2003, 34 (1-2) : 59 - 66
[4] Lower Bounds to Ground-State Eigenvalues II
M.G. Marmorino
[J]. Journal of Mathematical Chemistry, 2003, 34 : 59 - 66
[5] UPPER AND LOWER BOUNDS FOR GROUND-STATE SECOND-ORDER PERTURBATION ENERGY
PRAGER, S
HIRSCHFELDER, JO
[J]. JOURNAL OF CHEMICAL PHYSICS, 1963, 39 (12): : 3289 - &
[6] UPPER AND LOWER BOUNDS FOR GROUND-STATE ENERGIES IN THE HELIUM ISOELECTRONIC SEQUENCE
ABDELRAOUF, MA
[J]. PHYSICA B & C, 1979, 97 (01): : 103 - 106
[7] Converging upper and lower bounds for ground-state energies of atomic nuclei
G. P. Kamuntavičius
D. Germanas
R. K. Kalinauskas
S. Mickevičius
R. Žemaičinienė
[J]. The European Physical Journal A - Hadrons and Nuclei, 2005, 25 : 379 - 385
[8] Converging upper and lower bounds for ground-state energies of atomic nuclei
Kamuntavicius, GP
Germanas, D
Kalinauskas, R
Mickevicius, S
Zemaiciuiene, R
[J]. EUROPEAN PHYSICAL JOURNAL A, 2005, 25 (03): : 379 - 385
[9] UPPER-BOUNDS FOR THE GROUND-STATE 2ND-ORDER PERTURBATION-THEORY
GOMEZJERIA, JS
[J]. SOUTH AFRICAN JOURNAL OF CHEMISTRY, 1982, 35 (02) : 39 - 41
[10] THE UPPER AND LOWER BOUNDS OF THE GROUND-STATE ENERGIES USING THE VARIATIONAL METHOD
LEE, J
[J]. AMERICAN JOURNAL OF PHYSICS, 1987, 55 (11) : 1039 - 1040

← 1 2 3 →