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Consider the harmonic functions (Spherical Harmonics) Y1,0 and Y2, 0 and deriving with the operator of the square of the angular momentum, determine their eigenvalues.

Consider the harmonic functions (Spherical Harmonics) Y1,0 and Y2, 0 and deriving with the operator of the square of the angular momentum, determine their eigenvalues. Verify its value by comparing what you should get using the generic formula. Also determine the value of L in the z axis and the magnitude of the angular momentum for these cases. 

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