On the Spectrum of a Model Operator in Fock Space
Mathematical Physics
2008-05-12 v1 math.MP
Abstract
A model operator associated to a system describing four particles in interaction, without conservation of the number of particles, is considered. We describe the essential spectrum of by the spectrum of the channel operators and prove the Hunziker-van Winter-Zhislin (HWZ) theorem for the operator We also give some variational principles for boundaries of the essential spectrum and interior eigenvalues.
Keywords
Cite
@article{arxiv.0805.1284,
title = {On the Spectrum of a Model Operator in Fock Space},
author = {Tulkin H. Rasulov and Mukhiddin I. Muminov and Mahir Hasanov},
journal= {arXiv preprint arXiv:0805.1284},
year = {2008}
}