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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 166, Number 1, Pages 95–109
DOI: https://doi.org/10.4213/tmf6598 (Mi tmf6598) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Essential spectrum of a model operator associated with a three-particle system on a lattice

T. H. Rasulovab

a Bukhara State University, Bukhara, Uzbekistan
b University of Bern, Bern, Switzerland
Full-text PDF (450 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6598
Abstract: We consider a model operator H associated with the system of three particles interacting via nonlocal pair potentials on a ν-dimensional lattice. We identify channel operators and use their spectra to describe the position and structure of the essential spectrum of H. We obtain an analogue of the Faddeev equation for the eigenfunctions of H.
Keywords: model operator, nonlocal potential, Hilbert–Schmidt class, Faddeev equation, essential spectrum, channel operator.
Received: 16.05.2010
Revised: 16.06.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 166, Issue 1, Pages 81–93
DOI: https://doi.org/10.1007/s11232-011-0007-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. H. Rasulov, “Essential spectrum of a model operator associated with a three-particle system on a lattice”, TMF, 166:1 (2011), 95–109; Theoret. and Math. Phys., 166:1 (2011), 81–93
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf6598
  • https://doi.org/10.4213/tmf6598
  • https://www.mathnet.ru/eng/tmf/v166/i1/p95
    • This publication is cited in the following 2 articles:
    1. Tulkin H. Rasulov, Elyor B. Dilmurodov, Khilola G. Khayitova, PHYSICAL MESOMECHANICS OF CONDENSED MATTER: Physical Principles of Multiscale Structure Formation and the Mechanisms of Nonlinear Behavior: MESO2022, 2899, PHYSICAL MESOMECHANICS OF CONDENSED MATTER: Physical Principles of Multiscale Structure Formation and the Mechanisms of Nonlinear Behavior: MESO2022, 2023, 030005  crossref
    2. T. Kh. Rasulov, Z. D. Rasulova, “Cpektr odnogo trekhchastichnogo modelnogo operatora na reshetke s nelokalnymi potentsialami”, Sib. elektron. matem. izv., 12 (2015), 168–184  mathnet  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
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    Abstract page:519
    Full-text PDF :207
    References:76
    First page:18
     
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