Abstract
In this chapter, we discuss a more specific model for the transition between the vibrational manifolds using parallel displaced harmonic normal modes, for which the time-correlation function can be evaluated explicitly. We consider the limit of high frequency modes (or low temperature) where vibrational progressions appear and the limit of low frequencies (or high temperature) where the lineshape becomes Gaussian where position and width only depend on the total reorganization energy.
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Notes
- 1.
We retain only the lowest order of the potential difference.
- 2.
Without frequency changes the zero point energies are the same and \(E_{e}^{min}-E_{g}^{min}=E_{e}^{0}-E_{g}^{0}=\hbar \omega _{00}\).
- 3.
Also for very strong vibronic coupling \(g_{r}\).
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Scherer, P.O.J., Fischer, S.F. (2017). The Displaced Harmonic Oscillator. In: Theoretical Molecular Biophysics. Biological and Medical Physics, Biomedical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55671-9_19
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DOI: https://doi.org/10.1007/978-3-662-55671-9_19
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-55670-2
Online ISBN: 978-3-662-55671-9
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