Particle in a Divided Box

Been a while since the last post since I’ve been working on typing up this long problem and have had some other work on my desk, but here is Sakurai 2.10. I make no guarantees of the validity of the result, but this should be an okay guide. This problem essentially gives us a particle in a state described by two wavefunctions, and then has us calculate energy eigenvalues of the system, time evolution, etc. This is a great problem for those still getting used to Dirac notation.