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Works cited by this work

26 works

Work: The Infiniteness of the Number of Eigenvalues of the Schrödinger Operator of a System of Two Particles on a 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 Threshold Effects for the Two-Particle Hamiltonians on Lattices

    Sergio Albeverio, S. N. Lakaev, Konstantin A. Makarov +1

    ArticleSpectral Theory in Mathematical PhysicsCommunications in Mathematical Physics200576 citations
    ABI

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

    A. Mogilner

    Other199157 citations
    ABI

  5. The bound state of weakly coupled Schrödinger operators in one and two dimensions

    Barry Simon

    Article197630 citations
    ABI

  6. On the bound state of Schrödinger operators in one dimension

    Martin Klaus

    Article197730 citations
    ABI

  7. Perturbation Theory for Linear Operators

    Tosio Kato

    Book199528 citations
    ABI

  8. Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case

    S. N. Lakaev, Shokhrukh Yu. Kholmatov, Shakhobiddin I Khamidov

    Article202126 citations
    ABI

  9. Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator

    S. N. Lakaev, A. M. Khalkhuzhaev, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201221 citations
    ABI

  10. Untitled

    Other20 citations
    ABI

  11. Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201019 citations
    ABI

  12. Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians

    Jeffrey Rauch

    Article198018 citations
    ABI

  13. The threshold effects for a family of Friedrichs models under rank one perturbations

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications200616 citations
    ABI

  14. Conditions for the Existence of Eigenvalues of a Three-Particle Lattice Model Hamiltonian

    Bekzod I. Bahronov, Tulkin H. Rasulov, Mubashar Rehman

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics202314 citations
    ABI

  15. Bound states of a system of two fermions on a one-dimensional lattice

    J. I. Abdullaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200613 citations
    ABI

  16. The Number and Location of Eigenvalues of the Two Particle Discrete Schrödinger Operators

    I. N. Bozorov, Sh. I. Khamidov, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202212 citations
    ABI

  17. Spectrum of the two-particle Schrödinger operator on a lattice

    S. N. Lakaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200811 citations
    ABI

  18. On the Number and Location of Eigenvalues of the Two Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, Sh. I. Khamidov

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics202210 citations
    ABI

  19. Perturbation Theory for the Two-Particle Schrodinger Operator on a One-Dimensional Lattice

    J. I. Abdullaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200510 citations
    ABI

  20. The Number of Eigenvalues of the Three-Particle Schrödinger Operator on Three Dimensional Lattice

    A. M. Khalkhuzhaev, J. I. Abdullaev, J. Kh. Boymurodov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20229 citations
    ABI

  21. 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

  22. Bound states of a two-boson system on a two-dimensional lattice

    Zh. I. Abdullaev, Komil Kuliev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20168 citations
    ABI

  23. The Essential Spectrum of a Three Particle Schrödinger Operator on Lattices

    S. N. Lakaev, A. T. Boltaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20237 citations
    ABI

  24. Universality of the discrete spectrum asymptotics of the three-particle Schrödinger operator on a lattice

    M. I. Muminov, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20157 citations
    ABI

  25. Existence of the eigenvalues of a tensor sum of the Friedrichs models with rank 2 perturbation

    Tulkin H. Rasulov, Bekzod I. Bahronov

    ArticleAdvanced Differential Geometry ResearchNanosystems Physics Chemistry Mathematics20236 citations
    ABI