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Clebsch–Gordan and Racah Coefficients

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R-Matrix Theory of Atomic Collisions

Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics ((SSAOPP,volume 61))

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Abstract

In this appendix we summarize the formulae describing the coupling of two or more angular momenta required in our analysis of atomic, molecular and optical collision processes. This leads to the introduction of Clebsch–Gordan coefficients, Racah coefficients, 6-j symbols, 9-j symbols as well as higher order 3n-j symbols. For a detailed discussion of these topics reference should be made to specialized monographs on angular momentum by Wigner [965, 967], Biedenharn et al. [106], Rose [797], Edmonds [284], Fano and Racah [308] and Brink and Satchler [139] and to the reprint volume by Biedenharn and van Dam [107].

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Correspondence to Philip G. Burke .

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Burke, P.G. (2011). Clebsch–Gordan and Racah Coefficients. In: R-Matrix Theory of Atomic Collisions. Springer Series on Atomic, Optical, and Plasma Physics, vol 61. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15931-2_13

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  • DOI: https://doi.org/10.1007/978-3-642-15931-2_13

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