You are given two one-dimension quantum wells with the same width of L. One well is infinitely deep. The other is finitely deep. It has the energy barrier height of Vo and three trapping states. (i) Sketch the wave functions for the first three states in the infinitely deep well and those for the three trapping states in the finitely deep well, respectively. (ii) Which well has lower energies correspondingly? Explain the reason.

You are given two one-dimension quantum wells with the same width of L. One well is infinitely deep. The other is finitely deep. It has the energy barrier height of Vo and three trapping states. (i) Sketch the wave functions for the first three states in the infinitely deep well and those for the three trapping states in the finitely deep well, respectively. (ii) Which well has lower energies correspondingly? Explain the reason.