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If we look at a system of two particles, with local angular momentum operators l1 and l2,

we could imagine two different ways of constructing a combined operator:

J = l1+ l2 and J' = l1 − l2. Using the relation that L x L = ihbar L , where L is the angular momentum operator, show that J is a valid angular momentum but J' is not.

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J is a valid angular... View the full answer

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