A recently developed method for approximate solution of three-atomic r
eactive scattering problems in hyperspherical coordinates [Chem. Phys.
209 (1996) 377] is improved by treating all three internal coordinate
s quantum mechanically. The wave function corresponding to these coord
inates is represented by a 3D wave packet which is propagated in time
simultaneously with the classical equations of motion describing the o
verall rotation of the system. The method has been applied to the D H-2 --> HD + H reaction previously studied with related methods. The v
ibrationally resolved reaction cross sections obtained are in good agr
eement with full quantum results. (C) 1997 Elsevier Science B.V.