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47. Evaluate the following properties of the spherical harmonic Y, (8, ): (a) L, (b) 2 eigenvalue (c) L magnitude (d) magnitude of the projection

47. Evaluate the following properties of the spherical harmonic Y, (8, ): (a) L, (b) 2 eigenvalue (c) L magnitude (d) magnitude of the projection of L on the xy plane (hint: it equals \\/L% + L3)

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