Abstract:
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.