Abstract
In this paper we study the diatomic molecular scattering by reducing the number of particles through Born-Oppenheimer approximation. Under a non-trapping assumption on the effective potential of the molecular Hamiltonian we use semiclassical resolvent estimates to show that non-adiabatic corrections to the adiabatic (or Born-Oppenheimer) wave operators are small. Furthermore we study the classical limit of the adiabatic wave operators by computing its action on quantum observables microlocalized by use of coherent states.
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Communicated by B. Simon
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Klein, M., Martinez, A. & Wang, X.P. On the Born-Oppenheimer approximation of wave operators in molecular scattering theory. Commun.Math. Phys. 152, 73–95 (1993). https://doi.org/10.1007/BF02097058
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DOI: https://doi.org/10.1007/BF02097058