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Funktsional'nyi Analiz i ego Prilozheniya, 2003, Volume 37, Issue 1, Pages 81–84
DOI: https://doi.org/10.4213/faa139 (Mi faa139) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Brief communications

Efimov's Effect in a Model of Perturbation Theory of the Essential Spectrum

S. N. Lakaev, T. H. Rasulov

A. Navoi Samarkand State University
Full-text PDF (117 kB) Citations (15)
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DOI: https://doi.org/10.4213/faa139
Abstract: A model operator similar to the energy operator of a system with a nonconserved number of particles is studied. The essential spectrum of the operator is described, and under some natural conditions on the parameters it is shown that there are infinitely many eigenvalues lying below the bottom of the essential spectrum.
Keywords: model operator, energy operator, systems with nonconserved number of particles, eigenvalues, Efimov effect, essential spectrum, infinitely many eigenvalues.
Received: 15.01.2001
English version:
Functional Analysis and Its Applications, 2003, Volume 37, Issue 1, Pages 69–71
DOI: https://doi.org/10.1023/A:1022980112256
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: S. N. Lakaev, T. H. Rasulov, “Efimov's Effect in a Model of Perturbation Theory of the Essential Spectrum”, Funktsional. Anal. i Prilozhen., 37:1 (2003), 81–84; Funct. Anal. Appl., 37:1 (2003), 69–71
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/faa/v37/i1/p81
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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