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3. Given that |l, m) = l(l + 1) m(m 1) |l, m1) and that = iy, show that (L) for V,m is zero.

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3. Given that |l, m) = l(l + 1) m(m 1) |l, m1) and that = iy, show that (L) for V,m is zero. [Hint: recall (L) = V1,m dt = dT = (1, m |x|l, m) and also |1,m) = mh|l,m) (m = 1, 1 + 1, , 1).]

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