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Consider the wave function y (0, 9) = 3 sin 0 cos Oe-2(1 cos 0)e2ie. %3D (a) Write w (0, ) in terms of

 

Consider the wave function y (0, 9) = 3 sin 0 cos Oe-2(1 cos 0)e2ie. %3D (a) Write w (0, ) in terms of the spherical harmonics. (b) Write the expression found in (a) in terms of the Cartesian coordinates. (c) Is w (0, 9) an eigenstate of L2 or L? (d) Find the probability of measuring 2h for the z-component of the orbital angular momen- tum.

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