Geodesic
Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 3, pp. 415-431 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove that the number of bound states for the Hamiltonian of a system of three arbitrary particles interacting through pairwise attraction potentials on a three-dimensional lattice is finite in the cases where (1) none of the two-particle subsystems has a virtual level and (2) only one of the two-particle subsystems has a virtual level. 
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     author = {S. N. Lakaev and S. M. Samatov},
     title = {Finiteness of the {Discrete} {Spectrum} of the {Hamiltonian} of a {System} of {Three} {Arbitrary} {Particles} on a {Lattice}},
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S. N. Lakaev; S. M. Samatov. Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 3, pp. 415-431. http://geodesic.mathdoc.fr/item/TMF_2001_129_3_a4/

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