Homework # 3 - Atomic and Optical Physics I | PHYS 721, Assignments of Physics

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Homework #3 Due “thas. 2% Sept. 1) Consider the process of scattering weak trctdurt Vig nt from a Z- level atom , ini tally ta the cron sak, where E, is He energy ok He excited ted stale \e> Ee- Ey= Ky, FS SSS grand shle Ig> | tno but at pho Sin the weak imerdact IN? rs the number ot photons iy the weak inctdut beam, wrth photon energy and pdantahian hw, E. (ushere weak murs sportarenus emission >? stimdated amissiin) \ Vpy> TS & Single \e:Nnor -— la; Ny, -4 { >, RN? —y a) t 143 Maw 07 MQ? KA A byte > photon with polarzatin, Le Consider Q) Consi ‘dering the electric dipde v interaction perturratiedy, what 1S the lowest ordey i” de E that Iqs SNgyo> and \g3 Nerd, Lae are coupled ¢ Apter b) To tat order, catculate He Vmatrix ele ment Vg-5 for the scatteriey process , (define = te.) (remember, only the final state has tp conserve “enuny Cc) Using FermysS golden rule | whak rs the total sca Hering, rate 0 a Fanctron of wk eee s oer), Zz a r wit wh GK COA stant cq (GE = cnet ), &) On 4 4" ¢ yer the “Gul Cages 3 . i) w<& Wo [itigan 31) w 9? Wo Lit) whet hepput ad wr Wp?