ELECTRONIC TRANSITIONS IN SLOW COLLISIONS OF ATOMS AND MOLECULES .2. CALCULATIONS OF WAVE FUNCTIONS AND GREENS FUNCTIONS IN EIKONAL APPROXIMATION

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. © 1969 The American Physical Society.