The quadrupole operator (Q) discussed in Problem 27 is a second rank tensor (mathbf{T}_{q}^{(k)}) with (k=2). Based

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The quadrupole operator \(Q\) discussed in Problem 27 is a second rank tensor \(\mathbf{T}_{q}^{(k)}\) with \(k=2\). Based on this, what are the selection rules \(\Delta j\) and \(\Delta m_{j}\) for electric quadrupole transitions?

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