Abstract
We present numerical ab initio calculations for a quantum system that is a one-dimensional analog of electron-hydrogen scattering at low energies. This approach allows for an exact treatment of electron correlation. The exchange probability can be computed directly from the full unsymmetrized two-electron wave function. One can thus determine without approximation the relative importance of the direct versus the exchange process. We find that, in this low-energy regime, the exchange probability can be quite high and can exceed the probability of the direct process. We then take into account the exchange probability in a calculation of the single-electron effective potential for the free electron. \textcopyright{} 1996 The American Physical Society.
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