Question: (II) Consider a special function defined on the sphere surface, spherical harmonics: 1 3 1 Y1- zsin()e-io 0 2 27 Demonstrate that it is an

(II) Consider a special function defined on the sphere surface, spherical harmonics: 1 3 1 Y1- zsin()e-io 0 2 27 Demonstrate that it is an eigenfunction of the operators: 1 a a z = -ih- =- and ? = ha a sin e 1 22 + sin? 0 262 sin but it is not an eigenfunction of: n =- -ih [- a sino ae a cot O cos 0
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