Geodesic
The Iorio–O'Carroll theorem for $N$-particle lattice Hamiltonian
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 75-85 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Yu. V. Zhukov},
     title = {The {Iorio{\textendash}O'Carroll} theorem for $N$-particle lattice {Hamiltonian}},
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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/

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