Geodesic
Asymptotic completeness for a~particle-Fermi-gas system
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 451-456

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A quantum particle interacting locally with the Fermi gas on the lattice $Z^\nu$ is considered. Existence and invertibility of the Moller morphisms is proved. As a consequence, unitary equivalence of free and perturbed dynamics is obtained. 
@article{TMF_1987_71_3_a14,
     author = {A. Sh. Domnenkov},
     title = {Asymptotic completeness for {a~particle-Fermi-gas} system},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {451--456},
     publisher = {mathdoc},
     volume = {71},
     number = {3},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a14/}
}
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A. Sh. Domnenkov. Asymptotic completeness for a~particle-Fermi-gas system. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 451-456. http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a14/