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Optics and Spectroscopy, 2020, Volume 128, Issue 8, Page 1099 (Mi os327)  
This article is cited in 1 scientific paper (total in 1 paper)

Spectroscopy and physics of atoms and molecules

Expression of relativistic expectation values of powers of r in terms of Clebsch–Gordan coefficients

J. C. Pain

CEA, DAM, DIF, Arpajon, France
Full-text PDF (27 kB) Citations (1)
Abstract: It is shown that, in the relativistic hydrogenic approximation, expectation values of the type ⟨nlj|rk|nlj⟩ can be expressed in terms of Clebsch-Gordan coefficients or 3jm symbols. This generalizes the results obtained by Varshalovich and Karpova [Opt. Spectrosc. 118, 1-5 (2015); Opt. Spektrosk. 118, 3–7 (2015)] in the non-relativistic hydrogenic case.
Keywords: relativistic hydrogenic approximation, expectation values of powers of r, Clebsch–Gordan coefficents.
Received: 22.01.2020
Revised: 04.04.2020
Accepted: 15.04.2020
English version:
Optics and Spectroscopy, 2020, Volume 128, Issue 8, Pages 1105–1109
DOI: https://doi.org/10.1134/S0030400X20080275
Bibliographic databases:
Document Type: Article
Language: English
Citation: J. C. Pain, “Expression of relativistic expectation values of powers of r in terms of Clebsch–Gordan coefficients”, Optics and Spectroscopy, 128:8 (2020), 1099; Optics and Spectroscopy, 128:8 (2020), 1105–1109
Citation in format AMSBIB
\Bibitem{Pai20}
\by J.~C.~Pain
\paper Expression of relativistic expectation values of powers of $r$ in terms of Clebsch--Gordan coefficients
\jour Optics and Spectroscopy
\yr 2020
\vol 128
\issue 8
\pages 1099
\mathnet{http://mi.mathnet.ru/os327}
\elib{https://elibrary.ru/item.asp?id=44045912}
\transl
\jour Optics and Spectroscopy
\yr 2020
\vol 128
\issue 8
\pages 1105--1109
\crossref{https://doi.org/10.1134/S0030400X20080275}
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  • https://www.mathnet.ru/eng/os327
  • https://www.mathnet.ru/eng/os/v128/i8/p1099
    • This publication is cited in the following 1 articles:
    1. Jean-Christophe Pain, “Some properties of Wigner 3j coefficients: non-trivial zeros and connections to hypergeometric functions”, Eur. Phys. J. A, 56:11 (2020)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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