Students do calculations for time evolution for spin-1.
Use a completeness relation to rewrite each of the states below in the \(z\)-direction.
Suppose the Hamiltonian is given by \(\hat{H} = \omega_o \hat{S}_x\).
For \(|\psi_C\rangle\):
List the possible values of a measurement of \(S_z\) and calculate the corresponding probabilities.
List the possible values of a measurement of \(S_x\) and calculate the corresponding probabilities.