Infinite Order Discrete Variable Representation for Quantum Scattering

A new approach to multi-dimensional quantum scattering by the infinite order discrete variable representation is presented. Determining the expansion coefficients of the wave function at the asymptotic regions by the solution of the differential Schr\"{o}dinger equation, we reduce an infinite set of linear equations to a finite one. Application to the benchmark collinear $H + H_2 \to H_2 + H$ reaction is shown to yield precise reaction probabilities.