3.2. The wave function for a rigid potential well is given by eqns (3.31) and {3.32) and the permissible values of k by eqn (3.42). Calculate the average values of z, (2~{z)}2. P. (PlP})2- [Hint Use eqn {3.43). The momentum operator in this one- dimensional case is iPiB/Bz.] 3.3. The classical equivalent of the potential well is a particle bouncing between two perfectly elastic walls with uniform velocity. (i) Calculate the classical average values of the quantities enumerated in the previous example. (ii) Show that. for high-enough energies, the quantum- mechanical solution tends to the classical solution