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 = 1β. Thus, we have *(x,0) = (x, 0), *(x. β) = (x. 1β) 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 2Π»h/T.
Problem 1.3 Consider a system with a real Hamiltonian that occupies a state having a real wave function both at time t =
-
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
Problem 1.3 Consider a system with a real Hamiltonian that occupies a state having a real wave function both at time t =
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 = 1β. Thus, we have *(x,0) = (x, 0), *(x. β) = (x. 1β) 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 2Π»h/T.