Remarks on the spectral theory for the Schrodinger operator of multiparticle type

The Mourre's method is used to prove the limiting absorption principle for the multiparticle Schrodinger operator under the same assumptions on pair potentials as in a two-particle problem. It is shown that at high energies this principle is valid in broader conditions than on the whole spectral axis. By analogy with the three-particle problem the scattering theory is constructed for the Schrodinger operator with potential which vanishes essentially anisotropically at infinity.