Geodesic
Remarks on the spectral theory for the Schrodinger operator of multiparticle type
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 277-298
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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. 
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     author = {D. R. Yafaev},
     title = {Remarks on the spectral theory for the {Schrodinger} operator of multiparticle type},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {277--298},
     year = {1984},
     volume = {133},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a18/}
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D. R. Yafaev. Remarks on the spectral theory for the Schrodinger operator of multiparticle type. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 277-298. http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a18/