2. (15 pts) For the THREE-Dimensional (3-D) particle in a box problem. the energy expression can be written as Em3n2n3=L1n12+Ln2+L32n328mh2. where n1,n2, and n3 are three independent quantum numbers for the wavefunction. If the box is a cubic box, so that L1=L2=L3=L, degeneracy is introduced into the system. A) Show that for a cubic box the three wavefunctions 123,321, and 213 all have the same energy. B) Sketch an energy level diagram for this system, including only the lowest THREE energy levels for this system, and indicating the degeneracy of each level