Abstract
Ion-ion collision dynamics are studied by direct solution of the time-dependent Schroedinger and Dirac equations on a two-dimensional Cartesian lattice. The time-dependent Dirac equation is solved in both its two- and four-component forms using difference offsetting on the lattice to mitigate the fermion doubling pathology. For Pd{sup 46+} on Pd{sup 45+}, which energetically corresponds to U{sup 92+} on U{sup 91+} in a three-dimensional space, total inelastic probabilities are calculated at a fixed ion velocity and several impact parameters. In this intermediate energy range, the total inelastic probabilities from the Schroedinger and two- and four-component Dirac equations are in reasonable agreement, although the detailed collision dynamics reveal interesting differences. (c) 2000 The American Physical Society.
Published Version
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