Scattering off an ellipsoid: A semiclassical theory@fa@f)

摘要

The WKB approximation is developed for scattering of an atom by an ellipsoidal particle and elastic scattering cross sections are calculated by using the WKB phase shifts in the prolate spheroidal coordinates and uniform WKB approximations for angular spheroidal wave functions. The calculation of cross sections requires the solution of an elliptic boundary condition and is quite simple compared to the calculation in the close coupling theory in the spherical coordinate representation. A version of close coupling theory is briefly discussed in the prolate spheroidal coordinates.