Show that in a parabolic potential well, the spacing between theenergy levels is constant. In semiconductors, parabolic potentialwells are often produced by using narrow square potential wellswhere the well to barrier width ratio gradually changes. Use thevirtual crystal approximation to design a GaAs/AlAs parabolicwellwhere the level spacing for the electron is approximately 8meV.(Hint: This isthe harmonic oscillatorproblem.)
