Let H be the Hamiltonian operator of a physical system. Denote by | , > the eigenvectors of H, with eigenvalues E: H|>= En|9n> n a. For an arbitrary operator A, prove the relation: (which we shall interpret in chapter III as the mean value of the momentum in the state | >) is zero. n p Pn 2m dv kinetic energy in the state | , >) and < 9 | X an>. Since the mean value of the potential energy in the state | 9 ) is < 9 | V(x) | q), how is it related to the mean value of the kinetic energy when: = y. Establish a relation between E V(X) = V X ( = 2, 4, 6...; V > 0)?