3. The wave function of a particle is given by: lp(0,9) >= C(12,2 > +3|2,1 > -2|2, –1 >) Where the eigen kets |6, m > are the spherical harmonics. Find: a) The normalization constant C. b) The probability that a measurement of L² gives6h?. c) The possible values of L; that can be obtained from a measurement and their respective probabilities. d) The expectation value of L, i.e < L >.
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