OVERCOMING THE ZERO-POINT DILEMMA IN QUASI-CLASSICAL TRAJECTORIES - (HE,H-2(-CASE()) AS A TEST)

We present a new technique for circumventing the problem of the zero-p oint leak in classical trajectories by extending the action-billiard a pproach of de Aguiar and Ozorio de Almeida [Nonlinearity 5, 523 (1992) ]. In addition to demonstrating its utility in a model problem, we exa mine the application of various methods of overcoming the zero-point l eak in the case of collinear He+H-2(+) collisions. We also show that n ot neglecting leaky trajectories gives, on an average, good agreement with quantal results for collinear as well as 3-dimensional collisions . (C) 1995 American Institute of Physics.