Abstract
We introduce a new approach to calculate the Franck–Condon factors in polyatomic molecules based on the tomographic probability representation of quantum mechanics. This approach is implemented to calculate the transition probabilities in various systems under an instantaneous change of frequency and equilibrium position of nuclei in a molecule by an external force. The problem is considered within the framework of the linear approximation for different types of the Dushinsky matrix and for any quantity of atoms in a molecule.
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