Summary
The Racah 6-j coefficients exist free from the Wigner 3-j definition (in the following,n-j coefficients/symbols will be abridged inton-j). Nevertheless, the closed formula for the stretched 6-j has always been derived from formulae previously calculated for some special 3-j. Obtaining the result by a 6-j self-governing method is of conceptual importance: moreover, it can be done without calculation. An immediate consequence is Racah's general formula for any 6-j.
This is a preview of subscription content, log in via an institution to check access.
References
Biedenharn L. C. andLouck J. D.,Angular momentum in quantum physics, inEncyclopedia of Mathematics and its Applications, Vol. 8 (Addison-Wesley, London) 1981, Chapt. 3, 5.
Edmonds A. R.,Angular Momentum in Quantum Mechanics, revised edition (Princeton University Press, N.J.) 1974, Chapt. 6, Sect. 6.2–6.3 and Appendix 1.
Varshalovich D. A., Moskalev A. N. andKhersonkii V. K.,Quantum Theory of Angular Momentum (World Scientific, Singapore) 1988 (translated from the Russian edition dated 1975), Chapt. 9, Sect. 9.6, eqs. (3)–(4), pp. 303–304.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bréhamet, L. Formula for the stretched 6-j symbols and Racah's general formula, without calculation. Nuov Cim B 110, 1377–1380 (1995). https://doi.org/10.1007/BF02723122
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02723122