Consider the wave function y(0,0) = 3 sin cos 0e -2(1-cos²0)² (a) Write y(0,0) in terms of the spherical harmonics. (b) Write the expression found in part (a) in terms of the Cartesian coordinates. (c) Is y(0,0) an eigenstate of Î or î? (d) Find the probability of measuring 2ħ for the z-component of the orbital angular momentum.

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Consider the wave function
y(0,0) = 3 sin cos 0e -2(1-cos²0)²
(a) Write y(0,0) in terms of the spherical harmonics.
(b) Write the expression found in part (a) in terms of the Cartesian coordinates.
(c) Is (0,0) an eigenstate of 2 or î?
(d) Find the probability of measuring 2ħ for the z-component of the orbital angular
momentum.
Transcribed Image Text:Consider the wave function y(0,0) = 3 sin cos 0e -2(1-cos²0)² (a) Write y(0,0) in terms of the spherical harmonics. (b) Write the expression found in part (a) in terms of the Cartesian coordinates. (c) Is (0,0) an eigenstate of 2 or î? (d) Find the probability of measuring 2ħ for the z-component of the orbital angular momentum.
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