▎ 摘　　要

Using the Bethe-Salpeter equation in the leading approximation, we derive the wave equation describing the interaction of two electrons in graphene at arbitrary value of the Fermi energy E-F. For the solutions of this equation, we have found the explicit forms of the density and the current which obey the continuity equation. We have traced the evolution of the wave packet during a scattering process. It is shown that the long-living localized quasi-stationary peak may appear at E-F < 0. Then this peak decays into a set of wave packets following each other. At t -> infinity total norm of all outgoing wave packets equals to that of incoming wave packet. At E-F = 0 the localized state does not appear. For E-F < 0 there is an infinite set of the localized solutions with the finite norms. We clearly demonstrate the qualitative difference of the results obtained on the bases of the Bethe-Salpeter equation and the results following from the wave equation where the Hamiltonian is a sum of the one-particle Hamiltonians and the electron-electron interaction potential.