?The ground-state wavefunction of a certain molecule is described by the vibrational

Chapter 11, Problem E11F.5(b)

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The ground-state wavefunction of a certain molecule is described by the vibrational wavefunction \(\psi_{0}=N_{0} \mathrm{e}^{-a x^{2} / 2}\). Calculate the Franck–Condon factor for a transition to a vibrational state described by the wavefunction \(\psi_{0}^{\prime}=N_{1} x \mathrm{e}^{-a\left(x-x_{0}\right)^{2} / 2}\). The normalization constants are given by eqn 7E.10.

Text Transcription:

psi_0=N_0e^-ax^2/2

psi_0prime=N_1xe^-ax-x_0^2/2

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