A new method, based on the functional formulation of the theory of quantum mechanical multichannel scattering for three-body collinear systems is proposed. Based on intrinsic properties of scattering system the numerical task was divided into independent subtasks and the parallel algorithm for numerical computations was developed and tested on massive-parallel systems Parsytec CC/16 and SPP-1600. It was shown that efficiency of such algorithm scales linearly. This algorithm makes it possible to carry out converging computations for three-body problem for any energy. It is shown, that even in this simple case the principle of quantum determinism in the general case breaks down and we have a micro-irreversible quantum mechanics. The ab initio calculations of the quantum chaos (wave chaos) for the first time were carried out on the example of an elementary chemical reaction Li + (FH) → (LiFH)* → (Lit) + H.