Volume no :11, Issue no: 1, February

Journal of Pure and Applied Mathematics: Advances and Applications

INVESTIGATIONS OF THE ESSENTIAL SPECTRUM OF A MODEL OPERATOR ASSOCIATED TO A SYSTEM OF THREE PARTICLES ON A LATTICE

Author's: Zilola D. Rasulova
Pages: [37] - [41]
Received Date: December 30, 2013
Submitted by:

Abstract

We consider a model operator H associated with the system of three particles on a d-dimensional lattice that interact via nonlocal pair potentials. We describe the essential spectrum of H by the spectrum of two channel operators.

Keywords

model operator, channel operator, Friedrichs model, essential spectrum.