3. ( /16 pts) When considering solutions to the Schrodinger equation there are two possible types of solutions; bound states and scattering states. (a) (4 pts) Compare and contrast these two types of solutions, specifically addressing the following characteristics . allowed values of total energy E . normalizabelity (b) (12 pts) Consider the potential shown as the solid line in the figure below. Each dotted line corresponds to a possible energy for a particle. Identify each as bound or scattering and explain your reasoning. State whether you expect the energy will be quantized, continuous, or both, and explain your reasoning