A rigorous implementation of the Jeans - Landau - Teller approximation for adiabatic invariants

摘要: Rigorous bounds on the rate of energy exchanges between vibrational and translational degrees freedom are established in simple classical models diatomic molecules. The results agreement with an elementary approximation introduced by Landau Teller. method is perturbative theory `beyond all orders', diagrammatic techniques (tree expansions) to organize manipulate terms, look for compensations, like recent studies KAM theorem homoclinic splitting.