Electronic Transitions in Slow Collisions of Atoms and Molecules. II. Calculations of Wave Functions and Green's Functions in the Eikonal Approximation

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Abstract
Practical techniques are developed for evaluating wave functions and Green's functions using the eikonal approximation. It is assumed that the scattering angle is small. This provides a great simplification in analysis of the trajectory curves, radii of curvature, etc. A sequence of approximations and the use of variational principles are described. Numerical illustrations, particularly for proton-hydrogen-atom scattering, are given for several of the approximations.

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