As figure suggests, the probability density for the region x > L rn the finite potential well of Fig. 39-7 drops off exponentially according to ψ2(x) = Ce-2kx, where C is a constant.
(a) Show that the wave function ψ(x) that may be found from this equation is a solution of Schr6dinger's equation in its one-dimensional form.
(b) Find an expression for k for this to be true.