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Klein, M.; Martinez, A.; Wang, X. P.

On the Born-Oppenheimer approximation of wave operators in molecular scattering theory. (English) Zbl 0778.35088

Commun. Math. Phys. 152, No. 1, 73-95 (1993).
Summary: 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.

Cited in 2 Reviews
Cited in 16 Documents

MSC:

35Q40 PDEs in connection with quantum mechanics
81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
35P25 Scattering theory for PDEs

Keywords:

Schrödinger operator; cluster Hamiltonian; semiclassical limit
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References:

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