Problem 5 (15 points) Consider a charged particle of charge q and mass m in a one-dimensional harmonic oscillator potent
Posted: Mon May 09, 2022 2:01 pm
Problem 5 (15 points) Consider a charged particle of charge q and mass m in a one-dimensional harmonic oscillator potential. Turn on a weak electric field E, which introduces a perturbation H' = -qEx. Recalling that x = (at + a), A 2 mos (1) (a) Calculate the first-order correction to energy eigenvalues, E." (b) Compute the first-order correction to the wave function 4) > to the stationary states in terms of the unperturbed stationary states in > (c) Compute the second-order correction to the energy eigenvalues, 2 ()