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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
Abstract:
It is shown that, in the relativistic hydrogenic approximation, expectation values of the type $\langle nlj|r^k|nlj\rangle$ can be expressed in terms of Clebsch-Gordan coefficients or 3$jm$ symbols. This generalizes the results obtained by Varshalovich and Karpova [Opt. Spectrosc. $\mathbf{118}$, 1-5 (2015); Opt. Spektrosk. $\mathbf{118}$, 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
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
Linking options:
https://www.mathnet.ru/eng/os327 https://www.mathnet.ru/eng/os/v128/i8/p1099
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