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.
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Transcribed Image Text:P2. Consider the motion of a particle of mass m moving in a 3-d potential, V(x, y, x) =
k(x? + 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.
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