Anharmonic coupling theory adiabatic approximation

The Adiabatic Approximation [51] Dealing With the Strong Anharmonic Coupling Theory of Weak H-Bonds Partition of the Full Hamiltonian into Diabatic and Adiabatic Parts Weakness of the Diabatic Hamiltonian [122]... 

In Section III, we obtained within the strong anharmonic coupling theory and within the adiabatic approximation, an expression for the ACF of the dipole moment operator that takes into account the irreversible influence of the surrounding on the H-bond bridge. In quantum representation II, this ACF is given by Eq. (124), which is a consequence of Eq. (123) after performing the trace over the slow mode, that is,... 

In Section IE, a theoretical approach of the quantum indirect damping of the H-bond bridge was exposed within the strong anharmonic coupling theory, with the aid of the adiabatic approximation. In Section III, this theory was shown to reduce to the Marechal and Witkowski and Rosch and Ratner quantum approaches. In Section IV, this quantum theory of indirect damping was shown to admit as an approximate semiclassical limit the approach of Robertson and Yarwood. 

APPENDIX B THE ADIABATIC APPROXIMATION [51] DEALING WITH THE STRONG ANHARMONIC COUPLING THEORY OF WEAK H-BONDS... 

In this section we shall give the connections between the nonadiabatic and damped treatments of Fermi resonances [53,73] within the strong anharmonic coupling framework and the former theory of Witkowski and Wojcik [74] which is adiabatic and undamped, involving implicitly the exchange approximation (approximation later defined in Section IV.C). 

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