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Works cited by this work

22 works

Work: On the Discrete Spectrum of the Three-Particle Schrödinger Operator on a Two-Dimensional Lattice

  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. The Efimov effect. Discrete spectrum asymptotics

    A. V. Sobolev

    Article199374 citations
    ABI

  4. Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results

    A. Mogilner

    Other199157 citations
    ABI

  5. Quantum Scattering Theory for Several Particle Systems

    L. D. Faddeev, S. P. Merkuriev

    Book199350 citations
    ABI

  6. Number of bound states of three-body systems and Efimov's effect

    Yu. N. Ovchinnikov, Israel Michael Sigal

    Article197949 citations
    ABI

  7. The Efimov effect of three-body Schrödinger operators

    Hideo Tamura

    Article199135 citations
    ABI

  8. On the infinite number of three-particle bound states of a system of three quantum lattice particles

    S. N. Lakaev

    Article199134 citations
    ABI

  9. Essential and Discrete Spectra of the Three-Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, M. É. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200333 citations
    ABI

  10. 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

  11. Scattering Theory: Some Old and New Problems

    Dmitri R. Yafaev

    Book200021 citations
    ABI

  12. 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

  13. 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

  14. Efimov's Effect: A New Pathology of Three-Particle Systems. II

    R. D. Amado, J. V. Noble

    Article197215 citations
    ABI

  15. Untitled

    Other15 citations
    ABI

  16. Untitled

    Other15 citations
    ABI

  17. 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

  18. Untitled

    Other8 citations
    ABI

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

    Shokhrukh Yu. Kholmatov, Zahriddin Muminov

    Article20188 citations
    ABI

  20. 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

  21. WEAKLY BOUND STATES OF THREE RESONANTLY INTERACTING PARTICLES.

    V.N. Efimov

    Article19707 citations
    ABI

  22. On the spectrum of the three-particle Hamiltonian on a unidimensional lattice

    N. M. Aliev, M. I. Muminov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Advances in Mathematics20151 citations
    ABI