Wigner and racah coefficients for su(3)

Draayer, J.P.; Akiyama, Y.

doi:10.1063/1.1666267

Wigner and racah coefficients for su(3)

J.P. Draayer
(
- Michigan U.
)
,
Y. Akiyama
(
- Michigan U.
)

1973

9 pages

Published in:

J.Math.Phys. 14 (1973) 1904-1912

DOI:

10.1063/1.1666267

View in:

AMS MathSciNet

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Abstract: (AIP)

A general yet simple and hence practical algorithm for calculating SU 3 ⊃SU 2 ×U 1 Wigner coefficients is formulated. The resolution of the outer multiplicity follows the prescription given by Biedenharn and Louck. It is shown that SU 3 Racah coefficients can be obtained as a solution to a set of simultaneous equations with unknown coefficients given as a by‐product of the initial steps in the SU 3 ⊃SU 2 ×U 1 Wigner coefficient construction algorithm. A general expression for evaluating SU 3 ⊃R 3 Wigner coefficients as a sum over a simple subset of the corresponding SU 3 ⊃SU 2 ×U 1 Wigner coefficients is also presented. State conjugation properties are discussed and symmetry relations for both the SU 3 ⊃SU 2 ×U 1 and SU 3 ⊃R 3 Wigner coefficients are given. Machine codes based on the results are available.

group theory: angular momentum
symmetry: su(3)

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