Gc. Groenenboom et Dt. Colbert, COMBINING THE DISCRETE VARIABLE REPRESENTATION WITH THE S-MATRIX KOHNMETHOD FOR QUANTUM REACTIVE SCATTERING, The Journal of chemical physics, 99(12), 1993, pp. 9681-9696
In order to reduce the memory requirements of quantum reactive scatter
ing calculations based on delocalized basis sets, we use a discrete ba
sis in a single interaction region coordinate system, resulting in a s
parse Hamiltonian matrix. The resulting set of linear equations is sol
ved via an iterative method which exploits their sparsity. Other impor
tant features of our formalism are the use of a truncated grid and dis
torted waves used to shrink the interaction region, and therefore the
basis size. We demonstrate the method and assess its efficiency for th
e reaction D+H-2 --> DH+H, at a total energy of 0.9 eV and zero total
angular momentum (J=0).