The Racah -coefficients,
sometimes simply called the Racah coefficients (Shore and Menzel 1968, p. 279),
are quantities introduced by Racah (1942) that are related to the Clebsch-Gordan
coefficients by
(1)
and
(2)
The Racah -coefficients
are related to the Wigner 6j -symbols by
(3)
(Messiah 1962, p. 1062; Shore and Menzel 1968, p. 279).
See also Clebsch-Gordan Coefficient ,
Racah V-Coefficient ,
Wigner
3j -Symbol ,
Wigner 6j -Symbol ,
Wigner 9j -Symbol
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References Biedenharn, L. C. and Louck, J. D. The Racah-Wigner Algebra in Quantum Theory. Reading, MA: Addison-Wesley, 1981. Biedenharn,
L. C. and Louck, J. D. Angular
Momentum in Quantum Physics: Theory and Applications. Reading, MA: Addison-Wesley,
1981. Messiah, A. "Racah Coefficients and ' ' Symbols." Appendix C.II in Quantum
Mechanics, Vol. 2. Amsterdam, Netherlands: North-Holland, pp. 1061-1066,
1962. Racah, G. "Theory of Complex Spectra. II." Phys. Rev. 62 ,
438-462, 1942. Shore, B. W. and Menzel, D. H. Principles
of Atomic Spectra. New York: Wiley, 1968. Sobel'man, I. I.
"Angular Momenta." Ch. 4 in Atomic
Spectra and Radiative Transitions, 2nd ed. Berlin: Springer-Verlag, 1992. Referenced
on Wolfram|Alpha Racah W-Coefficient
Cite this as:
Weisstein, Eric W. "Racah W-Coefficient."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/RacahW-Coefficient.html
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