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

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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. Yodgorov^a, M. I. Muminov^b

^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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Linking options:

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:

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
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
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
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
M. I. Muminov, U. R. Shodiev, “On the essential spectrum of a four-particle Schrödinger operator on a lattice”, Siberian Adv. Math., 21:4 (2011), 292–303
T. H. Rasulov, “Study of the essential spectrum of a matrix operator”, Theoret. and Math. Phys., 164:1 (2010), 883–895
M. E. Muminov, U. R. Shodiev, “Spectral properties of a Hamiltonian of a four-particle system on a lattice”, Russian Math. (Iz. VUZ), 54:12 (2010), 27–37
Rasulov T.H., “Investigations of the essential spectrum of a Hamiltonian in Fock space”, Applied Mathematics & Information Sciences, 4:3 (2010), 395–412
T. H. Rasulov, “Investigation of the spectrum of a model operator in a Fock space”, Theoret. and Math. Phys., 161:2 (2009), 1460–1470
T. H. Rasulov, “The Faddeev equation and the location of the essential spectrum of a model operator for several particles”, Russian Math. (Iz. VUZ), 52:12 (2008), 50–59

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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