Consider a particle of mass m in a 1d infinite square well potential with v(x) 0 if 0 xa, and v(x) oo otherwise. (a) show that an energy eigenstate of the time-independent schrödinger equation with e inside the well is not possible. do not rely on the answer from problem 3.1, but instead work explicitly with the schrödinger equation, its respective solution for this case, and construct your argument using the boundary conditions where the wave function must vanish 0 (b) similarly, show that an energy eigenstate with e < 0 inside the well is also not possible use the general solution to the ordinary differential equation to which the schrödinger equation reduces in this case