COMPUTATION OF EXCHANGE PROBABILITY IN ONE-DIMENSIONAL ELECTRON-HYDROGEN SCATTERING

We present numerical ab initio calculations for a quantum system that is a one-dimensional analog of electron-hydrogen scattering at low ene rgies. This approach allows for an exact treatment of electron correla tion. The exchange probability can be computed directly from the lull unsymmetrized two-electron wave function. One can thus determine witho ut approximation the relative importance of the direct versus the exch ange process. We find that, in this low-energy regime, the exchange pr obability can be quite high and can exceed the probability of the dire ct process. We then take into account thr exchange probability in a ca lculation of the single-electron effective potential for the free elec tron.