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Mat. Zametki, 2002, Volume 71, Issue 5, Pages 686–696 (Mi mz377)  

This article is cited in 4 scientific papers (total in 4 papers)

Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice

S. N. Lakaev, Zh. I. Abdullaev

A. Navoi Samarkand State University

Abstract: For a three-particle operator on a lattice, we study the properties of its spectrum that depend on pairwise interactions and are determined by a parameter characterizing the intensity of interaction.

DOI: https://doi.org/10.4213/mzm377

Full text: PDF file (230 kB)
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English version:
Mathematical Notes, 2002, 71:5, 624–633

Bibliographic databases:

UDC: 517.984
Received: 13.04.1998
Revised: 30.05.2001

Citation: S. N. Lakaev, Zh. I. Abdullaev, “Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice”, Mat. Zametki, 71:5 (2002), 686–696; Math. Notes, 71:5 (2002), 624–633

Citation in format AMSBIB
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\by S.~N.~Lakaev, Zh.~I.~Abdullaev
\paper Spectrum of the Three-Particle Schr\"odinger Difference Operator on a Lattice
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\yr 2002
\vol 71
\issue 5
\pages 686--696
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\transl
\jour Math. Notes
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\vol 71
\issue 5
\pages 624--633
\crossref{https://doi.org/10.1023/A:1015831803838}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Zh. I. Abdullaev, S. N. Lakaev, “Asymptotics of the Discrete Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice”, Theoret. and Math. Phys., 136:2 (2003), 1096–1109  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. Albeverio S., Lakaev S. N., Muminov Z. I., “Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics”, Ann. Henri Poincaré, 5:4 (2004), 743–772  crossref  mathscinet  zmath  isi
    3. Albeverio S., Lakaev S. N., Muminov Z. I., “On the structure of the essential spectrum for the three-particle Schrödinger operators on lattices”, Math. Nachr., 280:7 (2007), 699  crossref  mathscinet  zmath  isi  scopus
    4. M. I. Muminov, “The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice”, Theoret. and Math. Phys., 159:2 (2009), 667–683  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
  • Математические заметки Mathematical Notes
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