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Physics Faculty Publications and Presentations

1991

Electronic excitation -- Mathematical models

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Double Excitation Of Helium By Fast Particles Of Charge Z, James H. Mcguire, Jack C. Straton May 1991

Double Excitation Of Helium By Fast Particles Of Charge Z, James H. Mcguire, Jack C. Straton

Physics Faculty Publications and Presentations

Results of calculations of double excitation of helium to n=2 states for fast projectiles of charge Z are presented. Nonzero Z3 contributions for single and double excitation occur only when time-ordering contributions from the second-order amplitude are nonzero. For double excitation, electron correlation must also be nonzero to obtain Z3 terms. The time-ordering effects arise from virtual off-energy-shell intermediate states. As with second-order amplitudes for Thomas singularities in electron capture, the energy-nonconserving amplitude is connected to the second-order energy-conserving amplitude by a dispersion relation. Comparison is made with experiment.