Volume no :33, Issue no: 1, May

Journal of Mathematical Sciences: Advances and Applications

DESCRIPTION OF THE ESSENTIAL AND DISCRETE SPECTRUM OF A OPERATOR MATRIX IN FERMIONIC FOCK SPACE

Author's: Tulkin H. Rasulov, Halim H. Turdiev and Askar A. Rahmonov
Pages: [19] - [23]
Received Date: April 22, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121492

Abstract

We consider a model operator associated with the energy operator of a lattice system describing three particles in interactions, without conservation of the number of particles. This operator acts in the cut subspace of fermionic Fock space. The essential and discrete spectrum of are described.

Keywords

operator matrix, spin-boson model, fermionic Fock space, essential and discrete spectrum, Fredholm determinant and minor, fundamental Fredholm determinant.