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The following is a known matrix element for a vector operator Z, namely an eigenstate of angular momentum in the bra state equal to

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The following is a known matrix element for a vector operator Z, namely an eigenstate of angular momentum in the bra state equal to j = 1, 5 < j, m = 0] Z() |j + 1, m = 1 >= in some appropriate system of units. Calculate in the same system of units the following two matrix elements: (a) (b) < j, m = 1| Z() |j + 1, m = 1 >= ? < j, m = 1| Z) |j + 1, m = 2 >= ?

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