DOI: 10.1098/rspa.1956.0219. On the perturbation theory of small disturbances

On the perturbation theory of small disturbances

10.1098/rspa.1956.0219

Crossref journal-article

The Royal Society

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences (175)

Abstract

As a preliminary to a wide range of applications, conventional perturbation theory is re-examined and a number of useful properties emphasized. It is shown in particular that the total, kinetic and potential energies can be obtained to the (2 s + 1)th order from a knowledge of only the s th-order wave function and that similar though less powerful theorems hold for other diagonal matrix elements. A combination of variational and perturbation techniques is suggested as the best method of calculating small disturbances of a stationary system.

Bibliography

On the perturbation theory of small disturbances. (1956). Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 238(1213), 269â275.

Authors 0

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References 0 Referenced 126

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Dates

Type	When
Created	18 years, 8 months ago (Dec. 18, 2006, 5:59 p.m.)
Deposited	4 years, 6 months ago (Feb. 20, 2021, 10:09 p.m.)
Indexed	2 months ago (July 2, 2025, 10:56 a.m.)
Issued	68 years, 8 months ago (Dec. 18, 1956)
Published	68 years, 8 months ago (Dec. 18, 1956)
Published Online	28 years, 8 months ago (Jan. 1, 1997)
Published Print	68 years, 8 months ago (Dec. 18, 1956)

Funders 0

None

BibTeX

@article{1956, volume={238}, ISSN={2053-9169}, url={http://dx.doi.org/10.1098/rspa.1956.0219}, DOI={10.1098/rspa.1956.0219}, number={1213}, journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1956}, month=dec, pages={269–275} }

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