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Tensor coupling and 6j/9j symbols

  1. Apr 24, 2013 #1
    Hi everyone,

    I'm reading about the Wigner-Eckhart Theorem and the coupling of spherical tensor operators in Sakurai's Advanced Quantum Mechanics.
    I then came across this file, which states these concepts in Theorem 1 and 3.

    I'm now trying to find a connection between this coupling of tensor operators and 6j and 9j symbols. In the above document, such a link is established in the very last line, but I don't quite understand it. Nothing like this is mentioned in Sakurai and I can't find any other source that provides how these things are connected.

    Is there a good source discussing this?
    Thanks in advance for any help
  2. jcsd
  3. Apr 24, 2013 #2


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    Science Advisor

    It's derived (more or less) in the "Angular Momentum in Quantum Mechanics" book by Edmonds. Sect 7.1, Matrix Elements of the Tensor Product of Two Tensor Operators.
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