In: Physics
An atom is in a time independent one-dimensional potential well. The system's spatial wave function at t=0 is Ψ(x,0) = Ax(a-x) for 0<x<a and zero for all other x. (a) The system's energy is measured at t=0. What is the most likely outcome? Find the probability for obtaining this result. (b) What is the systems's average energy at t=0? Compare it with the energy in (a) and explain your answer.