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Please write neatly and answer all parts. 14.17. Show that the differential cross section for the photoelectric effect in which an electron in the ground

Please write neatly and answer all parts.

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14.17. Show that the differential cross section for the photoelectric effect in which an electron in the ground state of hydrogen is ejected when the atom absorbs a photon is given by do h k, (e . k( )2 = 32a mew [(1/ag) + 9214 where q = k; - ky. Assume the ejected electron is sufficiently energetic that the wave function for the electron can be taken to be the plane wave gik for (r|k() = where py = hik is the momentum of the electron and hik, is the momentum of the incident photon. Suggestion: The cross section is the transition rate divided by the incident photon flux, which is equal to c/ V in the box normalization used in this chapter

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