DOI: 10.1098/rspa.1961.0139. Relativistic self-consistent fields

10.1098/rspa.1961.0139

Crossref journal-article

The Royal Society

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

Abstract

The equations of the relativistic self-consistent field, first set up by Swirles (1935), are discussed using the algebra of tensor operators. The coefficients of radial integrals in the formula for the energy can be written in terms of Clebsch-Gordon and Racah coefficients, so that their symmetries can easily be seen and their numerical values can easily be calculated with the use of published tables. The magnetic interaction between two electrons is considered as well as the electrostatic interaction, and the effect of this term on the ionization energy of a K electron in mercury is computed with the use of unpublished results of Mayers.

Bibliography

Relativistic self-consistent fields. (1961). Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 262(1311), 555â576.

Authors 0

None

References 14 Referenced 220

{'key': 'p_1', 'first-page': '422', 'article-title': 'Proc. R oy', 'volume': '218', 'author': 'Brow G. E .', 'year': '1953', 'journal-title': 'Soc. A'} / Soc. A / Proc. R oy by Brow G. E . (1953)
Brow n G. E . 1952 P hil. M ag. 43 467. (10.1037/h0062134)
{'key': 'p_3', 'first-page': '108', 'article-title': 'Proc. Roy', 'volume': '251', 'author': 'Brow G. E .', 'year': '1959', 'journal-title': 'Soc. A'} / Soc. A / Proc. Roy by Brow G. E . (1959)
Cohen S. i960 P hys. Rev. 118 489. (10.1103/PhysRev.118.489)
Condon E . U. & Shortley G. H . 1953 Theory of atomic spectra. Cam bridge U niversity Press.
D irac P . A. M. 1947 The principles of quantum mechanics 3rd edition ch. x i. O xford: Clarendon Press.
H artree D . R . 1957 The calculation o f atomic structures. New Y ork: Jo h n W iley.
{'key': 'p_8', 'first-page': '862', 'article-title': 'P hys', 'volume': '38', 'author': 'Inglis D. R .', 'year': '1931', 'journal-title': 'Rev.'} / Rev. / P hys by Inglis D. R . (1931)
Rose M. E . 1957 Elementary theory of angular momentum. New Y ork: J o h n W iley. (10.1063/1.3060162)
Saxon D. 1954 Thesis U n iversity of W isconsin.
Simon A. 1954 O .R .N .L. 1718 N um erical Tables of th e C lebsch-G ordan Coefficients.
{'key': 'p_12', 'first-page': '1293', 'article-title': 'P hys', 'volume': '34', 'author': 'Slater J .', 'year': '1929', 'journal-title': 'Rev.'} / Rev. / P hys by Slater J . (1929)
{'key': 'p_13', 'first-page': '625', 'article-title': 'Proc. R oy', 'volume': '152', 'author': 'Swirles B.', 'year': '1935', 'journal-title': 'Soc. A'} / Soc. A / Proc. R oy by Swirles B. (1935)
{'key': 'p_14', 'first-page': '723', 'article-title': 'P hys', 'volume': '58', 'year': '1940', 'journal-title': 'Rev.'} / Rev. / P hys (1940)

Dates

Type	When
Created	18 years, 8 months ago (Dec. 15, 2006, 2:56 p.m.)
Deposited	4 years, 6 months ago (Feb. 15, 2021, 12:02 a.m.)
Indexed	2 months, 2 weeks ago (June 19, 2025, 2:22 a.m.)
Issued	64 years ago (Aug. 8, 1961)
Published	64 years ago (Aug. 8, 1961)
Published Online	28 years, 8 months ago (Jan. 1, 1997)
Published Print	64 years ago (Aug. 8, 1961)

Funders 0

None

BibTeX

@article{1961, volume={262}, ISSN={2053-9169}, url={http://dx.doi.org/10.1098/rspa.1961.0139}, DOI={10.1098/rspa.1961.0139}, number={1311}, journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1961}, month=aug, pages={555–576} }

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