DOI: 10.1063/1.1731724. Relation of Perturbation Theory to Variation Method

Relation of Perturbation Theory to Variation Method

10.1063/1.1731724

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The various order wave functions of the Rayleigh-Schrödinger perturbation theory can be obtained directly by solving certain differential equations or by minimizing equivalent variational expressions. These expressions are related to the ordinary variation method. The perturbation series is shown to result in a unique way from the minimization of larger and larger portions of 〈ψ, Hψ〉/〈ψ, ψ〉. In addition to several orders of perturbation, each step gives the exact remainders and upper limits to the energy. The approach suggests several ``variation-perturbation'' schemes.

Bibliography

SinanoÇ§lu, O. (1961). Relation of Perturbation Theory to Variation Method. The Journal of Chemical Physics, 34(4), 1237â1240.

Authors 1

Oktay Sinanoǧlu (first)

References 11 Referenced 40

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10.1063/1.1744474 / J. Chem. Phys. (1958)
10.1007/BF01397032 / Z. Physik. (1930)
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Dates

Type	When
Created	20 years, 7 months ago (Jan. 5, 2005, 9:57 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 2:56 p.m.)
Indexed	1 year, 2 months ago (June 13, 2024, 3:15 p.m.)
Issued	64 years, 4 months ago (April 1, 1961)
Published	64 years, 4 months ago (April 1, 1961)
Published Print	64 years, 4 months ago (April 1, 1961)

Funders 0

None

BibTeX

@article{Sinano_lu_1961, title={Relation of Perturbation Theory to Variation Method}, volume={34}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1731724}, DOI={10.1063/1.1731724}, number={4}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Sinanoǧlu, Oktay}, year={1961}, month=apr, pages={1237–1240} }

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