A method to calculate Franck-Condon factors in terms of the tomographic probability representation

Abstract: We introduce a new method to calculate Franck-Condon factors in polyatomic molecules that is based on the tomographic probability approach to quantum mechanics. This approach is implemented to calculate 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 for different types of the Dushinsky matrix and for any quantity of atoms in a molecule.