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.

Identifiers

DOI

10.48550/arxiv.1005.5505

Citations and references