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(ii) We build representations of the angular momentum algebra labeled by the quantum
numbers (j, m) of J² and J,. As an exercise, compute the matrix elements
(j — 2, т —
-1|J_|j = 2, m = 0),
(j = 1, m = 1|J+lj = 1, m = 0),
(j = 1, m = –1|J_\j = 2, m = 0).

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