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The Clebsch–Gordan Coefficients with Respect to Various Bases for Unitary and Orthogonal Representations of SU(2) and SO(3)

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Abstract

We calculate the Clebsch–Gordan coefficients for orthogonal rather than unitary representations of the rotation group.

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References

  1. Gordienko V. M., “Matrix entries of real representations of the groups O(3) and SO(3),” Sibirsk. Mat. Zh., 43,No. 1, 51-63 (2002).

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  2. Gelfand I. M., Minlos R. A., and Shapiro Z. Ya., Representations of the Rotation and Lorentz Groups, and Their Applications, Pergamon Press, Oxford; London; New York; Paris (1963).

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  3. Vilenkin N. Ya., Special Functions and the Theory of Group Representations, Amer. Math. Soc., Providence, RI (1968).

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  4. Godunov S. K. and Mikhaiilova T. Yu., Representations of the Rotation Group and Spherical Functions [in Russian], Nauchnaya Kniga, Novosibirsk (1998).

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Authors
  1. S. K. Godunov
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  2. V. M. Gordienko
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Godunov, S.K., Gordienko, V.M. The Clebsch–Gordan Coefficients with Respect to Various Bases for Unitary and Orthogonal Representations of SU(2) and SO(3). Siberian Mathematical Journal 45, 443–458 (2004). https://doi.org/10.1023/B:SIMJ.0000028609.97557.b8

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  • DOI: https://doi.org/10.1023/B:SIMJ.0000028609.97557.b8

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