Numerical test of the semiclassical approximation to the multicurvecrossing problem: Threestate model for He^{+} + Ne collisons
Abstract
Transitions between adiabatic surfaces are described semiclassically via trajectories propagating about their complex intersection point. This intersection point is a branch point of the potential function and a simple pole of the nonadiabatic coupling. Thus transitions may be described without explicit introduction of the nonadiabatic coupling. This structure is independent of the total number of states, but is most easily shown for twostate systems. A thrėestate model of the He^{+} + Ne collision system is solved by treating the threestate interaction as a sequence of twostate interactions. The results are in excellent agreement with accurate quantum calculations.
 Publication:

Physical Review A
 Pub Date:
 September 1977
 DOI:
 10.1103/PhysRevA.16.1082
 Bibcode:
 1977PhRvA..16.1082L