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Works cited by this work

22 works

Work: Threshold Analysis of the Schrödinger Operator of the System of Three Particles with Masses $m_1=m_2=\infty $ and $m_3<\infty $

  1. The few-body problem on a lattice

    Daniel C. Mattis

    Article1986101 citations
    ABI

  2. Schrödinger Operators on Lattices.The Efimov Effect and Discrete Spectrum Asymptotics

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsAnnales Henri Poincaré200482 citations
    ABI

  3. On Efimov's effect in a system of three identical quantum particles

    S. N. Lakaev

    Article199366 citations
    ABI

  4. On the number of eigenvalues of a model operator related to a system of three particles on lattices

    Gianfausto Dell’Antonio, Zahriddin Muminov, Yo. M. Shermatova

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201122 citations
    ABI

  5. Threshold of discrete Schrödinger operators with delta potentials on <i>n</i>-dimensional lattice

    Fumio Hiroshima, Zahriddin Muminov, Utkir Kuljanov

    ArticleSpectral Theory in Mathematical PhysicsLinear and Multilinear Algebra202021 citations
    ABI

  6. Scattering Theory: Some Old and New Problems

    Dmitri R. Yafaev

    Book200021 citations
    ABI

  7. Spectral and threshold analysis of a small rank perturbation of the discrete Laplacian

    Zahriddin Muminov, Shukhrat Alladustov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications202019 citations
    ABI

  8. Existence of an isolated band in a system of three particles in an optical lattice

    S. N. Lakaev, Gianfausto Dell’Antonio, Ahmad M Khalkhuzhaev

    Article201619 citations
    ABI

  9. The existence of bound states in a system of three particles in an optical lattice

    Saidakhmat N Lakaev, Shukhrat S Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201717 citations
    ABI

  10. On the structure of the essential spectrum for the three‐particle Schrödinger operators on lattices

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsMathematische Nachrichten200717 citations
    ABI

  11. Untitled

    Other15 citations
    ABI

  12. Existence of bound states of <i>N</i> -body problem in an optical lattice

    Shokhrukh Yu. Kholmatov, Zahriddin Muminov

    Article20188 citations
    ABI

  13. Spectrum of the three-particle Schrödinger operator on a one-dimensional lattice

    M. I. Muminov, N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20127 citations
    ABI

  14. On the spectrum of Schrödinger-type operators on two dimensional lattices

    Shokhrukh Yu. Kholmatov, S. N. Lakaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications20227 citations
    ABI

  15. Untitled

    Other7 citations
    ABI

  16. On the spectral estimates for the Schrödinger operator on ℤ d , d ≽ 3

    Grigori Rozenblum, Michael Solomyak

    Article20095 citations
    ABI

  17. The HVZ Theorem for a Pseudo-Relativistic Operator

    Doris H. Jakubaβa-Amundsen

    Article20074 citations
    ABI

  18. Spectral Properties of Schrödinger Operators on Perturbed Lattices

    Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka

    Article20154 citations
    ABI

  19. Inverse Problems, Trace Formulae for Discrete Schrödinger Operators

    Hiroshi Isozaki, Evgeny Korotyaev

    Article20112 citations
    ABI

  20. Untitled

    Other1 citations
    ABI

  21. Untitled

    Other1 citations
    ABI

  22. Untitled

    Other1 citations
    ABI