The Faddeev Equation and Essential Spectrum of a Hamiltonian in Fock Space

Abstract

A Hamiltonian (model operator) $H$ associated to a quantum system describing three particles in interaction, without conservation of the number of particles, is considered. The Faddeev type system of equations for eigenvectors of $H$ is constructed. The essential spectrum of $H$ is described by the spectrum of the channel operator.

References in corpus (1)

• The essential spectrum of Schrödinger operators on lattices