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Works cited by this work

31 works

Work: The Essential Spectrum of a Three Particle Schrödinger Operator on Lattices

  1. 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

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

    S. N. Lakaev

    Article199366 citations
    ABI

  3. Quantum Scattering Theory for Several Particle Systems

    L. D. Faddeev, S. P. Merkuriev

    Book199350 citations
    ABI

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

    S. N. Lakaev

    Article199134 citations
    ABI

  5. 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

  6. Bounds on the discrete spectrum of lattice Schrödinger operators

    V. Bach, W. de Siqueira Pedra, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Physics201824 citations
    ABI

  7. Threshold Analysis of the Three Dimensional Lattice Schrödinger Operator with Non-Local Potential

    Z. E. Muminov, Sh. U. Alladustov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202021 citations
    ABI

  8. Untitled

    Other20 citations
    ABI

  9. 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

  10. On the Spectrum of the Two-particle Shrödinger Operator with Point Interaction

    Zahriddin Muminov, Уткир Кулжанов, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202118 citations
    ABI

  11. 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

  12. On the Number of Eigenvalues of the Lattice Model Operator in One-Dimensional Case

    I. N. Bozorov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202216 citations
    ABI

  13. Untitled

    Other15 citations
    ABI

  14. 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

  15. Bound states of Schrödinger-type operators on one and two dimensional lattices

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

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications202115 citations
    ABI

  16. The Exact Number of Eigenvalues of the Discrete Schrödinger Operators in One-Dimensional Case

    S. N. Lakaev, I. U. Alladustova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202114 citations
    ABI

  17. On Spectrum of the Discrete Bilaplacian with Zero-Range Perturbation

    Shokhrukh Yu. Kholmatov, Mardon Pardabaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202110 citations
    ABI

  18. Invariant Subspaces of the Shrödinger Operator with a Finite Support Potential

    J. I. Abdullaev, A. M. Toshturdiev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202210 citations
    ABI

  19. On The Discrete Spectra of Schrödinger-Type Operators on one Dimensional Lattices

    S. N. Lakaev, A. T. Boltaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20229 citations
    ABI

  20. Untitled

    Other8 citations
    ABI

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

    Shokhrukh Yu. Kholmatov, Zahriddin Muminov

    Article20188 citations
    ABI

  22. Spectral properties of the three-particle difference schrödinger operator

    S. N. Lakaev, J. I. Abdullaev

    Article19997 citations
    ABI

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

    S. N. Lakaev, Zh. I. Abdullaev

    Article20027 citations
    ABI

  24. Threshold Phenomena in the Spectrum of the Two-Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, A. T. Boltaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20197 citations
    ABI

  25. 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