P2. Consider the motion of a particle of mass m moving in a 3-d potential, V(x, y, x) = k(x2 + y2 + z2 + Axy). The parameter a is small, so the last term in the potential can be treated as a perturbation to a 3-d simple harmonic oscillator. (a) Calculate the correction to the ground state energy up to the 2- order. (b) Calculate the l- order correction to the 1- excited states.

P2. Consider the motion of a particle of mass m moving in a 3-d potential, V(x, y, x) = k(x2 + y2 + z2 + Axy). The parameter a is small, so the last term in the potential can be treated as a perturbation to a 3-d simple harmonic oscillator. (a) Calculate the correction to the ground state energy up to the 2- order. (b) Calculate the l- order correction to the 1- excited states.