this basis, the Hamiltonian for the system may be written as
(a) (10 points) Are [1) and 2) eigenstates of Ĥ? If so, what are their eigenenergies?
If not, then express the eigenstates of Ĥ in terms of |1) and 2).
(b) (5 points) Write down the time-dependent Schrödinger equation for this system.
(c) (15 points) The system initially is in the state (0)) = (1) + |2)) at time t = 0.
At a later time, t, it is in another superposition, (t))
Fig: 1