Size consistency in perturbation theories

Journal Article · Wed Feb 01 00:00:00 EST 1984 · J. Chem. Phys.; (United States)

DOI:https://doi.org/10.1063/1.446799· OSTI ID:5267754

Sheppard, M G

Several versions of Rayleigh--Schroedinger (RS) and Brillouin--Wigner (BW) perturbation theories are tested for size consistency using a composite system consisting of N identical noninteracting subsystems. None of the BW versions and only two implementations of RS perturbation theory pass the test. The nondegenerate Brueckner--Goldstone expansion and the quasidegenerate theory of Brandow which employs a complete model space are size consistent. The incomplete model space version of Hose and Kaldor is not generally size consistent, except under special circumstances.

• Research Organization: Theoretical Division, T-12, MS J569, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 5267754
• Journal Information: J. Chem. Phys.; (United States), Vol. 80:3
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELECTRONIC STRUCTURE
PERTURBATION THEORY
SERIES EXPANSION
MANY-BODY PROBLEM
RAYLEIGH-SCHROEDINGER FORMULA
640305* - Atomic
Molecular & Chemical Physics- Atomic & Molecular Theory- (-1987)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics