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Measuring Angular momentum using Spherical Harmonics

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Measuring Angular momentum

A particle is in the state with wave function shi = 1/sqrt(2)[Y11 + Y1-1]

(a) What value is obtained if L^2 is measured?

(b) Does the particle have a definite value of Lz?

(c) What are the probabilities of getting results h bar and - h bar and 0 for Lz?

Are any other Lz results possible

(d) Calculate <shi/Lz/shi>

(e) Suppose that when Lz is measured the result h bar obtained. What is the wave function afterwards?

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Solution Summary

Average value of the z component of the angular momentum has been found. Each step is clearly shown using the equation editor.