On the spectrum of a model operator in Fock space

Authors

  • T. H. Rasulov Department of Physics and Mathematics, Samarkand State University, 15 University Boulevard, Samarkand, 140104, Uzbekistan
  • M. I. Muminov Department of Physics and Mathematics, Samarkand State University, 15 University Boulevard, Samarkand, 140104, Uzbekistan
  • M. Hasanov Southern Alberta Institute of Technology, 1301 16th Ave NW Calgary, Alberta, Canada T2M 0L4

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Keywords:

Abstract

A model operator $H$ associated to a system describing four particles in interaction, without conservation of the number of particles, is considered. We describe the essential spectrum of $H$ by the spectrum of the channel operators and prove the Hunziker-van Winter-Zhislin (HWZ) theorem for the operator $H.$ We also give some variational principles for boundaries of the essential spectrum and interior eigenvalues.

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Published

2009-12-25

Issue

Vol. 15 No. 4 (2009)

Section

Articles

How to Cite

Rasulov, T. H., et al. “On the Spectrum of a Model Operator in Fock Space”. Methods of Functional Analysis and Topology, vol. 15, no. 4, Dec. 2009, pp. 369-83, https://zen.imath.kiev.ua/index.php/mfat/article/view/431.