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Works cited by this work

33 works

Work: Puiseux Series Expansion for Eigenvalue of the Generalized Friedrichs Model with the Perturbation of Rank One

  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. 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

  3. The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice

    S. N. Lakaev, I. N. Bozorov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200932 citations
    ABI

  4. Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case

    Martin Klaus, Barry Simon

    Article198027 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 of discrete Schrödinger operators with delta potentials on <i>n</i>-dimensional lattice

    Fumio Hiroshima, Zahriddin Muminov, Utkir Kuljanov

    ArticleSpectral Theory in Mathematical PhysicsLinear and Multilinear Algebra202021 citations
    ABI

  8. 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

  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 eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction

    S. N. Lakaev, Shohruh Yu Holmatov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201120 citations
    ABI

  12. 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

  13. On the perturbation of continuous spectra

    Kurt Friedrichs

    Article194819 citations
    ABI

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. Threshold effects in a two-fermion system on an optical lattice

    S. N. Lakaev, S. H. Abdukhakimov

    ArticleCold Atom Physics and Bose-Einstein CondensatesTheoretical and Mathematical Physics202013 citations
    ABI

  20. 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

  21. 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

  22. 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

  23. Untitled

    Other7 citations
    ABI

  24. On spectrum and threshold analysis for discrete Schrödinger operator

    Zahriddin Muminov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20216 citations
    ABI

  25. Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One

    S. N. Lakaev, Arsmah Ibrahim, Shaxzod Kurbanov

    ArticleSpectral Theory in Mathematical PhysicsAbstract and Applied Analysis20126 citations
    ABI