On the nature of the geometrical symmetry groups in the quantum intramolecular dynamics

A hypothesis for the nature of the geometrical symmetry groups that are used in the quantum intramolecular dynamics in the Born-Oppenheimer approximation is considered. It is assumed that they are the dynamic symmetry groups of a more rigorous problem of intramolecular motion. On this basis, the contradictions in the concept of geometrical symmetry groups are removed and a number of new conclusions concerning the general properties of molecular systems are made.