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Semiclassical Mechanics with Molecular Applications$
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M. S. Child

Print publication date: 2014

Print ISBN-13: 9780199672981

Published to Oxford Scholarship Online: October 2014

DOI: 10.1093/acprof:oso/9780199672981.001.0001

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Atom–atom scattering

Atom–atom scattering

(p.210) 9 Atom–atom scattering
Semiclassical Mechanics with Molecular Applications

M. S. Child

Oxford University Press

Atom–atom scattering, as outlined by Ford and Wheeler, was the stimulus for later semiclassical advances. The equation, χ(E,l)=2(∂η/∂l), linking the classical deflection function to the derivative of the phase shift, is central to the theory. The physical origins of diffraction and rainbow oscillations in the angular scattering distributions and glory oscillations in the integral cross-section are described. Uniform approximations eliminate spurious primitive semiclassical singularities. Symmetry oscillations in light atom He/He cross-section are shown to provide direct information on the s-wave phase shift, η0 = (E) Extensions to electronically non-adiabatic scattering show how Stückelberg oscillations in the transition amplitude carry over to corresponding oscillations in the angular scattering intensity.

Keywords:   Ford–Wheeler, phase shift, classical deflection, rainbow, diffraction, glory, uniform approximation, symmetry oscillations, Stückelberg oscillations

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