(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the state:

[itex]|\Psi\rangle=\sum\limits_{m_1\ m_2\ m_3}\begin{pmatrix}

j_1 & j_2 & j_3 \\

m_1 & m_2 & m_3 \\

\end{pmatrix}|j_1\ m_1\rangle |j_2\ m_2\rangle |j_3\ m_3\rangle[/itex]

has the total angular momentum equal to zero.

2. Relevant equations

There are bunch of formulas for Clebsch - Gordan coefficients and Wigner 3j symbols, but that can be found everywhere.

3. The attempt at a solution

I have absolutely no idea how to start this one :\

I could write explicitly the 3j symbols, but then what?

EDIT: I found in Landau & Lifgarbagez, that this is what you should get for system of 3 particles with total angular momentum 0, but how do I prove that? They left that part out...

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# Homework Help: 3j symbols problem

Can you offer guidance or do you also need help?

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