| 释义 |
Clebsch-Gordan CoefficientA mathematical symbol used to integrate products of three Spherical Harmonics.Clebsch-Gordan coefficients commonly arise in applications involving the addition of angular momentum  in quantum mechanics. If products of more thanthree Spherical Harmonics are desired, then a generalization known as Wigner 6j-Symbol or Wigner 9j-Symbol is used. The Clebsch-Gordancoefficients are written
 | (1) |
 | (2) |
 . The Clebsch-Gordan coefficients are sometimes expressed using the related Racah V-Coefficient
 | (3) |
 | (4) |
 | (5) |
 | (6) |
 | (7) |
 | (8) |
 | (9) |
References
Abramowitz, M. and Stegun, C. A. (Eds.). ``Vector-Addition Coefficients.'' §27.9 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 1006-1010, 1972.Cohen-Tannoudji, C.; Diu, B.; and Laloë, F. ``Clebsch-Gordan Coefficients.'' Complement  in Quantum Mechanics, Vol. 2. New York: Wiley, pp. 1035-1047, 1977. Condon, E. U. and Shortley, G. §3.6-3.14 in The Theory of Atomic Spectra. Cambridge, England: Cambridge University Press, pp. 56-78, 1951. Fano, U. and Fano, L. Basic Physics of Atoms and Molecules. New York: Wiley, p. 240, 1959. Messiah, A. ``Clebsch-Gordan (C.-G.) Coefficients and `3j' Symbols.'' Appendix C.I in Quantum Mechanics, Vol. 2. Amsterdam, Netherlands: North-Holland, pp. 1054-1060, 1962. Shore, B. W. and Menzel, D. H. ``Coupling and Clebsch-Gordan Coefficients.'' §6.2 in Principles of Atomic Spectra. New York: Wiley, pp. 268-276, 1968. Sobel'man, I. I. ``Angular Momenta.'' Ch. 4 in Atomic Spectra and Radiative Transitions, 2nd ed. Berlin: Springer-Verlag, 1992.
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