Lattice, Time-Dependent Approach for Electron-Hydrogen Scattering
A time-dependent approach for treating electron-hydrogen scattering is reported that utilizes a fully correlated two-electron wavefunction represented on a three-dimensional lattice using the basis-spline collocation method. The lattice, time-dependent approach obviates the need for consideration of the three-body Coulomb boundary conditions, avoids the use of severe approximations such as those of perturbation theory for slow collisions, and provides a relatively dense representation of the one- and two-electron continua. Probabilities for excitation and ionization are computed by projection onto lattice eigenstates of the H atom. Partial cross sections for excitation and ionization are obtained and compared with results of other theoretical methods for the 1S and 3S channels.
G. D. Buffington et al., "Lattice, Time-Dependent Approach for Electron-Hydrogen Scattering," Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 32, no. 12, pp. 2991-3001, IOP, Bristol, United Kingdom, Jun 1999.
The definitive version is available at https://doi.org/10.1088/0953-4075/32/12/316
Keywords and Phrases
Atoms; Boundary conditions; Eigenvalues and eigenfunctions; Electric excitation; Electrons; Hydrogen; Ionization; Nonlinear equations; Probability; Basis spline collocation method; Partial cross sections; Three body Coulomb boundary conditions; Time dependent approach; Electron scattering
International Standard Serial Number (ISSN)
Article - Journal
© 1999 IOP, Bristol, United Kingdom, All rights reserved.