1. A bound-state particle exists in a finite square well of width 2a and with a potential difference of AV=9h2/(2ma²). a) Show the full calculation to determine the energy eigenvalues for this system. (like Wolfram Alph b) Solve for the normalization coefficients for each of the states. c) Solve for the matrix for Ĥ, à and p for the bound states only. (If you pay attention, this question requires solving only 2 integrals.) d) For a state that is in an equal superposition of the first and second energy eigenstates (up to some phase ), solve for (Ĥ(t)), ((t)) and (p(t)). (Full marks only if you use the correct matrix from (c).)