Problems on Angular Momentum

Problem 1:

A plane rotator (i.e. a particle confined to move on a unit circle) is in a state with a wavefunction $\psi (\phi )=Asin2\phi$ where $\psi$ is the azimuthal angle.

a) Determine A.

b) Find the probability of measuring different values of the z-component of the angular momentum $L_{z}$.

c) Find the expectation values $L_{z}$ and $L$

Solution 1: [1]