B G Searle and P H Butler 1988 J. Phys. A: Math. Gen. 21 3041 doi:10.1088/0305-4470/21/14/006
Calculation of primitive 6-j symbols
B G Searle and P H Butler
Show affiliationsThe 6-j symbols of a group are independent of the subgroup chain chosen to define the basis states. The authors present an improved algorithm for calculating the primitive 6-j symbols for a compact group with a faithful irrep by recursive building up using only the Kronecker product rules and the general properties of 6-j. Previously one has sometimes needed to search for the useful equations by systematically trying all equations which involve unknown 6-j. The authors show that the primitive 6-j may all be easily solved in terms of a subclass, the core 6-j. They discuss how the core 6-j can usually be solved, proving that the method is complete for SO3. The authors conjecture that the algorithm is complete for all groups.
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Issue 14 (21 July 1988)
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Calculation of primitive 6-j symbols
B G Searle and P H Butler 1988 J. Phys. A: Math. Gen. 21 3041
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