Structure of the essential spectrum of a model operator associated to a system of three particles on a lattice

Abstract

We consider a model operator H associated to a system of three particles interacting via nonlocal pair potentials on a three dimensional lattice. The existence conditions of the eigenvalues of a corresponding Friedrichs model are found and the structure of the essential spectrum of H is studied.

Keywords

• model operator
• nonlocal potential
• essential spectrum
• friedrichs model
• eigenvalue
• fredholm determinant