The Lagrange-mesh method is an approximate variational method taking the form of
equations on a grid thanks to the use of a Gauss-quadrature approximation. The variational …

Electron-impact ionization of the hydrogen atom is the prototypical three-body Coulomb
breakup problem in quantum mechanics. The combination of subtle correlation effects and …

The title of this chapter,“Discrete-Variable Representations” or (DVRs), suggests an
oxymoron-spatial coordinate variables are not discrete, and, if discrete values are used, are …

A new discrete variable representation (DVR) is proposed where the eigenstates of one-
dimensional reference Hamiltonians are used to obtain the DVR localized basis functions …

This book provides a detailed presentation of modern quantum theories for treating the
reaction dynamics of small molecular systems. Its main focus is on the recent development …

Atomic beam techniques are presently being used in many branches of surface physics
such as studies of the particle-surface physisorption potential, surface structure, surface …

We show how the finite-element method can be implemented using a discrete variable
representation to provide an efficient means for directly solving the time-independent …

This article describes a quantum mechanical reactive scattering program for atom–diatom
chemical reactions that we have written during the past several years. The program uses a …

0 (1 23 45678910P)+ Hj reaction and the paradigm+ H2 reaction, for which new
comparisons are made with recent accurate three-dimensional calculations. Not only do …

The criterion for the validity of the JWKB approximation is used to derive a first order
differential equation for a negative imaginary absorbing potential, i (r). The resulting …