A pair of spin half particles in a bound state. Spin angular momentum operators S1 and S2. In l= 0, no orbital component, the operator for total angular momentum is J = S1+S2(adsbygoogle = window.adsbygoogle || []).push({});

Possible ang mom states can be denoted by |J, M> where J and M are quantum numbers for J^2 and Jz respectively. Write down the two possible values of J and corresponding eigenvalues of J^2. For each J list allowed M.

Answer

J^2 eigenvalue for a given J is J(J+1)hbar^2. The two possible values of are J=1 eigenvalue 2hbar^2 and J=0 eigenvalue 0

Sorry long question! Why is J = 1 and J=0. Couldn't it also be J=-1? Or can S1 and S2 only be 1/2 or 0?

Cheers

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# Homework Help: Angluar momentum J values.

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