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3. Consider a particle in a three-dimensional cubic box. a. Calculate the energy for this box, using the Hamiltonian operator, when the particle is in the energy state described by 'T1,2,3. Where: 1 nxTIX 2 1 nylty 2 1 nzTZ Inanynz = ()2 sin ( - )2 sin ( -)2 sin ( ax ax ay ay az az b. Are the following wavefunctions eigenfunctions of the Hamiltonian? If yes, what is the eigenvalue? = 1 V2 = (P12,3 - '3.1.2) W = P11 - 2,2.2