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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 170, Number 3, Pages 409–422
DOI: https://doi.org/10.4213/tmf6775
(Mi tmf6775)
 

This article is cited in 6 scientific papers (total in 6 papers)

Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

Yu. Kh. Eshkabilov, R. R. Kucharov

Mirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (454 kB) Citations (6)
References:
Abstract: We study the position of the essential spectrum of a three-body Schrödinger operator $H$. We evaluate the lower boundary of the essential spectrum of $H$ and prove that the number of eigenvalues located below the lower edge of the essential spectrum in the $H$ model is finite.
Keywords: essential spectrum, discrete spectrum, lower boundary of the essential spectrum, Schrödinger operator.
Received: 01.04.2011
Revised: 01.07.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 170, Issue 3, Pages 341–353
DOI: https://doi.org/10.1007/s11232-012-0034-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. Kh. Eshkabilov, R. R. Kucharov, “Essential and discrete spectra of the three-particle Schrödinger operator on a lattice”, TMF, 170:3 (2012), 409–422; Theoret. and Math. Phys., 170:3 (2012), 341–353
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6775
  • https://doi.org/10.4213/tmf6775
  • https://www.mathnet.ru/eng/tmf/v170/i3/p409
  • This publication is cited in the following 6 articles:
    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:620
    Full-text PDF :193
    References:111
    First page:19
     
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