Geodesic
The Iorio--O'Carroll theorem for $N$-particle lattice Hamiltonian
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 75-85

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The unitary equivalence of the full and free Hamiltonians for a $N$-particle quantum lattice system with the small coupling constant is proved. This result is obtained by means of the mathematical scattering theory: we prove the existence and asymptotic completeness of the wave operators. Here we construct a special representation for the exponent of the Hamiltonian. 
@article{TMF_1996_107_1_a6,
     author = {Yu. V. Zhukov},
     title = {The {Iorio--O'Carroll} theorem for $N$-particle lattice {Hamiltonian}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {75--85},
     publisher = {mathdoc},
     volume = {107},
     number = {1},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a6/}
}
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Yu. V. Zhukov. The Iorio--O'Carroll theorem for $N$-particle lattice Hamiltonian. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 75-85. http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a6/