We present a computational scheme to propagate wave packets describing S states of two-electron systems. Body-fixed polar coordinates (r1,{r}₂$,{θ}) are used to represent the time-dependent wave functions on a grid in three dimensions. We handle the Coulomb singularities by transformation of the wave function and a modified finite-difference formula to evaluate the kinetic energy. We use a finite-difference split-operator scheme for the time propagation and, as a first application, we compute the low-energy spectrum of helium and H^-.
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Zhang et al. (1994) studied this question.
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