2. For a potential well defined for x 2 0, that has an infinite wall at x=0, the wave function must vanish at x =0. The connection formula for x L=E/mg . Use this in the above and do the integral to find the energy eigenvalues. Find the first 3 energy eigenvalues in Joules for a ball of mass 0. 1 kg. . Solve the Schrodinger wave equation exactly for the potential I' ( x) = mgx, x >0 and / (x)=0, x 0, to find (7) in terms of (1). Then use (T)+ (1) = E, to find (1') in terms of E. . Then use (1) = mg (x) to find (x) in terms of E. . Use this last equation and the formula for E, to estimate how large a would have to be for the ball to have average height of I'm above ground