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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 1, Pages 78–87
DOI: https://doi.org/10.4213/tmf6525 (Mi tmf6525) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The Efimov effect for a model “three-particle” discrete Schrödinger operator

Yu. Kh. Èshkabilov

Ulugbek Uzbekistan National University, Tashkent, Uzbekistan
Full-text PDF (393 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf6525
Abstract: We study the existence of an infinite number of eigenvalues for a model “three-particle” Schrödinger operator $H$. We prove a theorem on the necessary and sufficient conditions for the existence of an infinite number of eigenvalues of the model operator $H$ below the lower boundary of its essential spectrum.
Keywords: essential spectrum, discrete spectrum, Efimov effect.
Received: 29.10.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 1, Pages 896–904
DOI: https://doi.org/10.1007/s11232-010-0071-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. Kh. Èshkabilov, “The Efimov effect for a model “three-particle” discrete Schrödinger operator”, TMF, 164:1 (2010), 78–87; Theoret. and Math. Phys., 164:1 (2010), 896–904
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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