Investigation of the spectrum of a model operator in a Fock space
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- Rasulov, T.K. Theor Math Phys (2009) 161: 1460. doi:10.1007/s11232-009-0133-0
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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.