An Airy discrete variable representation basis
Robert G. Littlejohn, Matthew Cargo · The Journal of Chemical Physics · 2002
A new discrete variable representation (DVR) basis is presented, one that is based on Airy functions. That is, the functions of the “finite basis representation” (actually infinite in this case) are energy eigenfunctions in a constant force field. The exact matrix elements of the kinetic energy are computed. The use of the Airy DVR functions in diagonalizing a one-dimensional Hamiltonian is illustrated.