Mathematical Notes

, Volume 73, Issue 3, pp 521–528

A Model in the Theory of Perturbations of the Essential Spectrum of Multiparticle Operators

  • S. N. Lakaev
  • T. Kh. Rasulov

DOI: 10.1023/A:1023207220878

Cite this article as:
Lakaev, S.N. & Rasulov, T.K. Mathematical Notes (2003) 73: 521. doi:10.1023/A:1023207220878


We find the continuous spectrum of the model Schrödinger operator acting in the direct sum of Hilbert spaces of n-particle states, n=0,1,2,3.

multiparticle operatorSchrödinger operatorn-particle stateessential spectrumFredholm determinantperturbation theoryHilbert spaceFock space

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • S. N. Lakaev
    • 1
  • T. Kh. Rasulov
    • 2
  1. 1.Samarkand State UniversityUzbekistan
  2. 2.Complex Research Institute for Regional Problems, Samarkand BranchAcademy of Sciences of UzbekistanUzbekistan