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Problem 1.3 Consider a system with a real Hamiltonian that occupies a state having a real wave function both at time t = 0 and at a later time t = 1₁. Thus, we have *(x,0) = (x, 0), *(x. ₁) = (x. 1₁) Show that the system is periodic, namely, that there exists a time T for which (x,1)=(x, t+T) In addition, show that for such a system the eigenvalues of the energy have to be integer multiples of 2лh/T.