A quantum well has a finite-height barrier on one side and an infinitely high barrier on the other. Find the energies for the two lowest states for an electron in the well. The width of the well is L = 1 nm and the height of the finite step is Uo = 1 eV.
It is possible that such a well may not have any bound states at all. Come up with a mathematical expression for the condition that there will be at least one bound state in the well. Your expression should relate Uo and L, along with any other necessary physical constants.