Theoretical and Mathematical Physics

, 161:1460

Investigation of the spectrum of a model operator in a Fock space


DOI: 10.1007/s11232-009-0133-0

Cite this article as:
Rasulov, T.K. Theor Math Phys (2009) 161: 1460. doi:10.1007/s11232-009-0133-0


We consider a model operator H corresponding to a quantum system with a nonconserved finite number of particles on a lattice. Based on an analysis of the spectrum of the channel operators, we describe the position of the essential spectrum of H. We obtain a Faddeev-type equation for the eigenvectors of H.


model operatorsystem with nonconserved finite number of particlesFaddeev equationessential spectrumchannel operator

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© MAIK/Nauka 2009

Authors and Affiliations

  1. 1.Samarkand State UniversitySamarkandUzbekistan