?The intensities of spectroscopic transitions between the vibrational states of a
Chapter 7, Problem P7E.15(choose chapter or problem)
The intensities of spectroscopic transitions between the vibrational states of a molecule are proportional to the square of the integral \(\int \psi_{v^{\prime}} x \psi_{v} \mathrm{d} x\) over all space. Use the relations between Hermite polynomials given in Table 7E.1 to show that the only permitted transitions are those for which \(v^{\prime}=v \pm 1\) and evaluate the integral in these cases.
Text Transcription:
int psi_v^prime x psi_v d x
v^prime=v pm 1
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