Physics

Physics · modern-physics

Problem

Consider two angular momentum observables

\hat{\boldsymbol{j}}_{1}

and

\hat{\boldsymbol{j}}_{2}

. In the subspace corresponding to given values

j_{1}

and

j_{2}

, what are the possible values for the quantum number

j

associated with the total angular momentum

\hat{\boldsymbol{j}}

, assuming that

j_{1} \geq j_{2}