Can u help answer a, b and c...

(a) An operator A^ is Hermitian if mA^nd=n(A^m)d where m and n are acceptable functions. Prove that the eigenvalue of a Hermitian operator must be real. Deduce that all quantum mechanical operators are Hermitian operators. (10 marks) (b) Benzene is an example of a 2-D box with the dimension of 0.35nm and 6 electrons. Determine the frequency and the wavelength for the energy required for the transition of an electron from the ground state to the first excited state. ( 5 marks) (c) Show if the kinetic energy operator, Tx and the position operator, x^, commute. Determine the commutator value