Consider a particle trapped in a one-dimensional finite potential well. Assuming that the well admits exactly three energy eigenstates, do the following: a) Sketch the form of the potential, and the approximate positions of the energy eigenvalues. b) Add to your sketch the values of the wavefunction, ψ(x), and the probability density, ρ, for each of the three states. c) Explain the features of your sketch that do not occur in classical physics.

Consider a particle trapped in a one-dimensional finite potential well. Assuming that the well admits exactly three energy eigenstates, do the following: a) Sketch the form of the potential, and the approximate positions of the energy eigenvalues. b) Add to your sketch the values of the wavefunction, ψ(x), and the probability density, ρ, for each of the three states. c) Explain the features of your sketch that do not occur in classical physics.