Generating functions for the coupling-recoupling coefficients of SU(2)
- 1 October 1975
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 8 (10) , 1543-1561
- https://doi.org/10.1088/0305-4470/8/10/010
Abstract
A general formula for the generating function of an arbitrary coupling-recoupling coefficient of SU(2) is derived via the Bargmann formalism and graphical calculations. The result is expressed in terms of sums over two finite sets only of subgraphs of the Jucys graph of the coefficient. A new explicit expression for the coefficient is obtained.Keywords
This publication has 5 references indexed in Scilit:
- Structure of the 12j and 15j coefficients in the Bargmann approachJournal of Mathematical Physics, 1974
- Structure of the Wigner 9j Coefficients in the Bargmann ApproachJournal of Mathematical Physics, 1972
- On the Representations of the Rotation GroupReviews of Modern Physics, 1962
- Simmetry properties of Racah’s coefficientsIl Nuovo Cimento (1869-1876), 1959
- Symmetry properties of Clebsch-Gordon’s coefficientsIl Nuovo Cimento (1869-1876), 1958