Question: (a) Let J be angular momentum. (It may stand for orbital L, spin S, or J total ) Using the fact that J x ,

(a) Let J be angular momentum. (It may stand for orbital L, spin S, or J_total·) Using the fact that J_x, l_y, l_z(± ≡ J_x ± i J_y) satisfy the usual angular-momentum commutation relations, prove

(b) Using (a) (or otherwise), derive the "famous" expression for the coefficient c_that appears in

J = J +J+J_-Jz.

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