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Works cited by this work

21 works

Work: Invariant Subspaces and Eigenvalues of the Three-Particle Discrete Schrödinger Operators

  1. Methods of Modern Mathematical Physics

    Book197291 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. ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR

    D R Jafaev

    Article197459 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. 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

  8. A class of exactly solvable three-body quantum mechanical problems and the universal low energy behavior

    Sergio Albeverio, Raphaël Høegh-Krohn, Tai Tsun Wu

    Article198124 citations
    ABI

  9. On Efimov's effect: A new pathology of three-particle systems

    R. D. Amado, J. V. Noble

    Article197119 citations
    ABI

  10. Energy levels arising from resonant two-body forces in a three-body system

    V.N. Efimov

    Article197019 citations
    ABI

  11. Asymptotics for the Number of Negative Eigenvalues of Three-Body Schrödinger Operators with Efimov Effect

    Hideo Tamura

    Article201819 citations
    ABI

  12. 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

  13. 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

  14. Untitled

    Other15 citations
    ABI

  15. Finiteness of the number of eigenvalues of the two-particle Schrödinger operator on a lattice

    J. I. Abdullaev, Isroil A. Ikromov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20079 citations
    ABI

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

    S. N. Lakaev, Zh. I. Abdullaev

    Article20027 citations
    ABI

  17. 70+ Years of the Watson Integrals

    I. J. Zucker

    Article20116 citations
    ABI

  18. The existence of eigenvalues of Schrödinger operator on three dimensional lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, Komil Kuliev

    Article20226 citations
    ABI

  19. A system of three quantum particles with point-like interactions

    R. A. Minlos

    Article20145 citations
    ABI

  20. Bound states of the Schrödinger operator of a system of three bosons on a lattice

    S. N. Lakaev, A. R. Khalmukhamedov, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20163 citations
    ABI

  21. Untitled

    Other3 citations
    ABI