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We address the problem of transmission of electrons between twononinteracting leads through a region where they interact (quantum dot). We usea model of spinless electrons hopping on a one-dimensional lattice and with aninteraction on a single bond. We show that all the two-particle scatteringstates can be found exactly. Comparisons are made with numerical results on thetime evolution of a two-particle wave packet and several interesting featuresare found for scattering. For N particles the scattering state is obtained byperturbation theory. For a dot connected to Fermi seas at different chemicalpotentials, we find an expression for the change in the Landauer currentresulting from the interactions on the dot. We end with some comments on thecase of spin-1/2 electrons.

Scattering of electrons from an interacting region