?Suppose that a charge-transfer transition in a one-dimensional system can be modelled

Chapter 11, Problem E11F.12(a)

(choose chapter or problem)

Suppose that a charge-transfer transition in a one-dimensional system can be modelled as a process in which a Gaussian wavefunction centred on x = 0 and width a makes a transition to another Gaussian wavefunction of the same width centred on \(x=\frac{1}{2} a\). Evaluate the transition moment \(\int \psi_{f} x \psi_{i} \mathrm{~d} x\). Hint: Don’t forget to normalize each wavefunction to 1.

Text Transcription:

x=frac12a

intpsi_fxpsi_idx

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