Geodesic
Investigation of the~spectrum of a~model operator in a~Fock space
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 2, pp. 164-175

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We consider a model operator $H$ corresponding to a quantum system with a nonconserved finite number of particles on a lattice. Based on an analysis of the spectrum of the channel operators, we describe the position of the essential spectrum of $H$. We obtain a Faddeev-type equation for the eigenvectors of $H$.
Keywords: model operator, system with nonconserved finite number of particles, Faddeev equation, essential spectrum, channel operator. 
@article{TMF_2009_161_2_a2,
     author = {T. H. Rasulov},
     title = {Investigation of the~spectrum of a~model operator in {a~Fock} space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {164--175},
     publisher = {mathdoc},
     volume = {161},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_161_2_a2/}
}
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T. H. Rasulov. Investigation of the~spectrum of a~model operator in a~Fock space. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 2, pp. 164-175. http://geodesic.mathdoc.fr/item/TMF_2009_161_2_a2/