# Combined system state as product of states

by Sekonda
Tags: combined, product, state, states
 P: 209 Hey, I have to express the combined system state of j=5/2, m=5/2 in terms of the products of states j1,m1 and j2,m2. $$\mid j,m> =\mid\frac{5}{2},\frac{5}{2}>\: ,\: |j_1,m_1> \& |j_2,m_2>$$ I know that one way of achieving this is for j1=3/2 and j2=1 but I'm not sure how to express this - I think this is involving Clebsch-Gordon coefficients. Thanks guys, SK
 P: 209 I suppose I'm confused in how I could write that the 5/2, 5/2 state was the same as 3/2, 3/2 and a 1,1. Would this simply be: $$|\frac{5}{2},\frac{5}{2}>=|\frac{3}{2},\frac{3}{2}>|1,1>$$ I'm not really sure what is meant by the product of two states - what notation would be used.
 P: 209 Combined system state as product of states or $$|\frac{5}{2},\frac{5}{2}>=|\frac{3}{2},\frac{3}{2},1,1>$$