Lattice, Time-Dependent Approach for Electron-Hydrogen Scattering
Abstract
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.
Recommended Citation
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
Department(s)
Physics
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)
0953-4075
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1999 IOP, Bristol, United Kingdom, All rights reserved.
Publication Date
01 Jun 1999
