  We present and study a two-particle quantum walk on the line in which the two
particles interact via a long-range Coulombian-like interaction. We obtain the
spectrum of the system as well as study the type of molecules that form,
attending to the bosonic or fermionic nature of the walkers. The usual loss of
distinction between attractive and repulsive forces does not entirely apply in
our model because of the long-range of the interaction.
