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Homework Statement
Show that when tree identical quadrupole phonons (boson) are coupled togheter, only states with total angular momentum 0,2,4 and 6 are allowed.
The Attempt at a Solution
I know "how" to do it, but i do not know how to couple three angular momenta.
In the case of two, following is true for the total:
[tex] \vert j_1 - j_2\vert \leq J \leq \vert j_1 + j_2\vert [/tex]
But how to do a similar thing when there is three? Shall I look up how the triangular inequality works for three vectors?