Question

Problem 2. (30 points) (a) (3 points) The Stark effect (shift of energy levels by a constant external electric field) in atom is usually observed to be quadratic in the field strength. Explain why. (b) (3 points) But for some states of the hydrogen atom, the Stark effect is observed to be linear in the field strength. Explain why. (c) Ilustrate by making a perturbation calculation of the Stark effect of an electric field E Ez to lowest non-vanishing order for (i) (10 points) the ground state (n=1) and (ii) (10 points) the first excited states (n=2) of the hydrogen atom. neglecting spin and relativistic effects. Here, z is a unit vector in the z-direction, Eo is a constant and n denotes the principal quantum number. (iii) (4 points) Draw an energy-level diagram for n-2 which shows the levels before and after application of the electric field, and describe the spectral lines that originate from these levels which can be observed (i.e., allowed electric dipole transitions)

Answer 1

on - has Han osile past, slatis do not Jonisl ond ana need to Censider l to ond Ss

Ca Co) e Seda ea

me thsl n= 2 ld sl own in tg .klo'. Ade tla+ tattoo ottan sti aie stu eg geEa。. who