Geodesic
Finiteness of discrete spectrum of three particle Schr'́odinger operator on the lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 1, pp. 94-108 Cet article a éte moissonné depuis la source Math-Net.Ru

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A Hamiltonian system of three identical quantum particles on a lattice interacting via pairwise contact attracting potentials is discussed. Finiteness of three particle bound states of the three dimensional Schrödinger operator is proved under the condition that operators describing two particle subsystems do not have virtual levels. For high dimensions $(\nu\geq5)$ the finiteness of three particle bound states is also proved under the presence of virtual levels. 
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     author = {Zh. I. Abdullaev and S. N. Lakaev},
     title = {Finiteness of discrete spectrum of three particle {Schr'́odinger} operator on the lattice},
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Zh. I. Abdullaev; S. N. Lakaev. Finiteness of discrete spectrum of three particle Schr'́odinger operator on the lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 1, pp. 94-108. http://geodesic.mathdoc.fr/item/TMF_1997_111_1_a6/

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