Let 1) and 2) be two orthonormal states. Consider the Hamiltonian given by: H=3E|1)(1| 3E12) (2|i4E|1) (2|+i4E|2)(1| (a) Find the energy eigenvalues and normalized eigenstates. (b) Given the dynamical variable A = |1)(1| |2) (2|. What are the possible results of a measurement of A? (c) What is the probability that the result of the measurement of A gives the value 1 if the system is in its ground state? (d) If at time t = 0, the system is in the state |1), what is the state vector at time t > 0? (e) What is the expectation value of A at time t > 0 if the system is in the ground state at time t = 0?