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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 3, Pages 544–554
DOI: https://doi.org/10.4213/tmf1875 (Mi tmf1875) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum

G. R. Yodgorova, M. I. Muminovb

a Uzbekistan Academy of Sciences, Samarkand Branch
b A. Navoi Samarkand State University
Full-text PDF (229 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf1875
Abstract: We consider a model operator acting in a subspace of a Fock space and obtain a symmetrized analogue of the Faddeev equation. For the operator considered, we describe the position and the structure of its essential spectrum.
Keywords: creation and annihilation operators, essential spectrum, positive operator, compact operator.
Received: 25.01.2005
Revised: 09.04.2005
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 3, Pages 1344–1352
DOI: https://doi.org/10.1007/s11232-005-0163-1
Bibliographic databases:
Language: Russian
Citation: G. R. Yodgorov, M. I. Muminov, “Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum”, TMF, 144:3 (2005), 544–554; Theoret. and Math. Phys., 144:3 (2005), 1344–1352
Citation in format AMSBIB
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\paper Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum
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\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 3
\pages 1344--1352
\crossref{https://doi.org/10.1007/s11232-005-0163-1}
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  • https://www.mathnet.ru/eng/tmf1875
  • https://doi.org/10.4213/tmf1875
  • https://www.mathnet.ru/eng/tmf/v144/i3/p544
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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