Abstract
Finite-element integration of the Schrodinger equation for the time evolution of a wavepacket is used to solve the two-dimensional model of electron impact ionisation proposed by Temkin and Hahn (1974), and Peterkop and Rabik (1972), as a test bench for mathematical and numerical techniques. The quantitative features of Wannier's transition state theory (1953) are reproduced, not only at threshold, but at much higher energies. Ionisation probabilities and ejected electron spectra are presented from threshold up to initial energies nine times the threshold energy.

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