Geodesic
Bound states and resonances of $N$-particle discrete Schr\"odinger operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 51-65

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The existence of bound states and resonances of the Hamiltonian of a system of $N$ different quantum lattice particles with nonvanishing $N$-particle short-range interaction is proved. The dependence of the bound states and the resonances on the coupling constant and the quasimomentum is studied. 
@article{TMF_1992_91_1_a4,
     author = {S. N. Lakaev},
     title = {Bound states and resonances of $N$-particle discrete {Schr\"odinger} operator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {51--65},
     publisher = {mathdoc},
     volume = {91},
     number = {1},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a4/}
}
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S. N. Lakaev. Bound states and resonances of $N$-particle discrete Schr\"odinger operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 51-65. http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a4/