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Works cited by this work

17 works

Work: The existence of eigenvalues of Schrödinger operator on a lattice in the gap of the essential spectrum

  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. Repulsively bound atom pairs in an optical lattice

    Klaus Winkler, Gregor Thalhammer, Florian Lang +6

    Article200640 citations
    ABI

  5. 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

  6. Asymptotics of the Discrete Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice

    J. I. Abdullaev, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200321 citations
    ABI

  7. 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

  8. 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

  9. The number of eigenvalues of three-particle Schrödinger operators on lattices

    Sergio Albeverio, Gian Fausta Dell Antonio, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical200715 citations
    ABI

  10. Untitled

    Other15 citations
    ABI

  11. The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice

    M. I. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200910 citations
    ABI

  12. The essential spectrum of the three-particle discrete operator corresponding to a system of three fermions on a lattice

    A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20177 citations
    ABI

  13. Finiteness of the discrete spectrum for non-trivial values of the full quasi-momentum in the system of three bosons on a lattice

    Жаникул Ибрагимович Абдуллаев

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematical Surveys20074 citations
    ABI

  14. Three-body problem in Fermi gases with short-range interparticle interaction

    D. S. Petrov

    Article20033 citations
    ABI

  15. Untitled

    Other2 citations
    ABI

  16. Untitled

    Other2 citations
    ABI

  17. Untitled

    Other1 citations
    ABI