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Qmechanic ♦
Qmechanic ♦
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Tensor product decomposition of SU$SU(2)$ duplet representations

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Qmechanic ♦
Qmechanic ♦
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I have a rather trivial question. I am looking for the decomposition of $1/2\otimes 1/2\otimes 1/2$. itIt should give, $0,1/2$ and $3/2$. I thought one must get as the overall dimension of this space 8, but counting, I just get 7. Does one have 2 singlettssinglets? Thanks :)

I have a rather trivial question. I am looking for the decomposition of $1/2\otimes 1/2\otimes 1/2$. it should give, $0,1/2$ and $3/2$. I thought one must get as the overall dimension of this space 8, but counting, I just get 7. Does one have 2 singletts? Thanks :)

I have a rather trivial question. I am looking for the decomposition of $1/2\otimes 1/2\otimes 1/2$. It should give, $0,1/2$ and $3/2$. I thought one must get as the overall dimension of this space 8, but counting, I just get 7. Does one have 2 singlets?

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Hamurabi
Hamurabi
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Tensor product decomposition of SU(2)

I have a rather trivial question. I am looking for the decomposition of $1/2\otimes 1/2\otimes 1/2$. it should give, $0,1/2$ and $3/2$. I thought one must get as the overall dimension of this space 8, but counting, I just get 7. Does one have 2 singletts? Thanks :)