1. The following wave function (where A and B constants) Y(x,1)= Ayi(x )e=E,1 + By2 (x )e-iE,1 is a linear combination of solutions of the time dependent Schrdinger equation each having the form Yn(x) e-10,111 and each of which corresponds to a solution of the time independent equation Hy,(x)= E, V (x) Problem: Show that '(x,t) is a solution of the time-dependent Schrdinger equation. Hint: The algebra is short, and all you need to know about the Hamiltonian, H, is that these functions, y,(x), are eigenfunctions of it