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