4. Suppose you have a particle with orbital angular momentum l=3 and spin angular momentum s=3!2. a} How many different angular momentum states could...

A spin-1/2 particle with mass m and charge e is at rest in a constant magnetic field, B, oriented in the x-direction.

a) Write down the Hamiltonian for this system and the most general vector, including time dependence, describing this system (i.e. solve for the energy eigenstates and eigenvalues). 

the rest in the question is in the attachmnet.