Geodesic
A~Hunziker--van~Winter--Zhislin theorem for a~four-particle lattice Schr\"odinger operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 3, pp. 428-443

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We consider a discrete Schrödinger operator for four arbitrary particles with short-range pair potentials. We describe the position and the structure of its essential spectrum and prove the Hunziker–van Winter–Zhislin theorem.
Keywords: cluster decomposition, channel operator, essential spectrum, compact operator. 
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     author = {M. I. Muminov},
     title = {A~Hunziker--van~Winter--Zhislin theorem for a~four-particle lattice {Schr\"odinger} operator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {428--443},
     publisher = {mathdoc},
     volume = {148},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_148_3_a5/}
}
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M. I. Muminov. A~Hunziker--van~Winter--Zhislin theorem for a~four-particle lattice Schr\"odinger operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 3, pp. 428-443. http://geodesic.mathdoc.fr/item/TMF_2006_148_3_a5/