Volume no :25, Issue no: 1, January

Journal of Mathematical Sciences: Advances and Applications

ON THE SPECTRUM OF A THREE-PARTICLE MODEL OPERATOR

Author's: Zilola D. Rasulova
Pages: [57] - [61]
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. We obtain an analogue of the Faddeev equation for the eigenfunctions of H and also we describe the spectrum of H.

Keywords

three-particle model operator, Hilbert-Schmidt class, Faddeev equation, spectrum.