Arigid rotor can spin, it has angular momentum that will be quantized. the energy will be entirely rotational kinetic energy. the hamiltonian for a rigid rotor is 12 h= where i is the moment of inertia. the energy eigenstates for the rigid rotor are the same as the eigenstates of the angular momentum of the operator \hat{l}^2. a rigid rotor is in the state \psi (\theta , \phi )=\sqrt{\frac{3}{4\pi}}sin\theta sin\phi , which is normalized.
a.)what are the possible values of the measurement of the angular momentum z-component? what are the probabilities of measuring each possible value?
b.) what is the expectation value of the z-component of the angular momentum for this state or find kl..
c.)what is the expectation value of the magnitude squared of the angular momentum or find .