Consider a square well having an infinite wall at x=0 and a wall of height U at x = L. For the case E < U, obtain solutions to the Schrodinger equation inside the well (0 < = x < = L) and in the region beyond ( x> L) that satisfy the appropriate boundary conditions at x=0 and x=infinity. Enforce the proper matching conditions at x=L to find an equation for the allowed energies of this system. Are there conditions for which no solution is possible?