Consider these operators: = (i 02 a a a + + az a2 a + . az a2 a2 a2 + 222 y az2 03 = acting on these wave functions: V.(x, y, z) = A sin(kxx) sin(kyy) sin(kxz) (2, y, z) = Aeik 2e-1(y +22) V.(1,y,z) = A sin(kzr)e-1(?+22) Assume that I ER and I > 0. Act with each operator on each wavefunction and based on the result, decide if the given wavefunction represents an eigenstate of the operator? If so, what is the eigenvalue? Provide a detailed answer and show your reasoning mathematically