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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 1, Pages 62–77
DOI: https://doi.org/10.4213/tmf6524 (Mi tmf6524) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Study of the essential spectrum of a matrix operator

T. H. Rasulov

Bukhara State University, Bukhara, Uzbekistan
Full-text PDF (440 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6524
Abstract: We consider a matrix operator $H$ corresponding to a system with a nonconserved finite number of particles on a lattice. We describe the structure of the essential spectrum of the operator $H$ and prove that the essential spectrum is a union of at most four intervals.
Keywords: matrix operator, system with a nonconserved finite number of particles, Fock space, generalized Friedrichs model, essential spectrum, eigenvalue.
Received: 01.12.2009
Revised: 31.01.2010
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 1, Pages 883–895
DOI: https://doi.org/10.1007/s11232-010-0070-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. H. Rasulov, “Study of the essential spectrum of a matrix operator”, TMF, 164:1 (2010), 62–77; Theoret. and Math. Phys., 164:1 (2010), 883–895
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf6524
  • https://doi.org/10.4213/tmf6524
  • https://www.mathnet.ru/eng/tmf/v164/i1/p62
    • This publication is cited in the following 4 articles:
    1. Rasulov T.H., “on the Finiteness of the Discrete Spectrum of a 3 X 3 Operator Matrix”, Methods Funct. Anal. Topol., 22:1 (2016), 48–61  mathscinet  zmath  isi
    2. M. I. Muminov, T. H. Rasulov, “Infiniteness of the number of eigenvalues embedded in the essential spectrum of a $2\times2$ operator matrix”, Eurasian Math. J., 5:2 (2014), 60–77  mathnet
    3. G. R. Yodgorov, F. Ismail, Z. I. Muminov, “A description of the location and structure of the essential spectrum of a model operator in a subspace of a Fock space”, Sb. Math., 205:12 (2014), 1761–1774  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. Zahriddin Muminov, Fudziah Ismail, Jamshid Rasulov, “The Faddeev Equation and the Essential Spectrum of a Model Operator Associated with the Hamiltonian of a Nonconserved Number of Particles”, Advances in Mathematical Physics, 2014 (2014), 1  crossref
    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
    Statistics & downloads:
    Abstract page:577
    Full-text PDF :217
    References:102
    First page:18
     
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