Title

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.

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.

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