Question 8 A spherical harmonic has the form Y(0,0) = Asin³ 0e-3i 1 where A is a normalization constant. (a) Using an ap
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Question 8 A spherical harmonic has the form Y(0,0) = Asin³ 0e-3i 1 where A is a normalization constant. (a) Using an ap
Question 8 A spherical harmonic has the form Y(0,0) = Asin³ 0e-3i 1 where A is a normalization constant. (a) Using an appropriate differential operator to represent Î₂, show that Y(0, 0) is an eigenfunction of L₂, and find the corresponding eigenvalue. (b) Find a suitable value for the normalization constant. You may find the following integral useful: 32 S sin Ꮎ dᎾ : 35 = [2] [3]