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Works citing this work

19 works

Work: Spectral and threshold analysis of a small rank perturbation of the discrete Laplacian

  1. 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
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  2. 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
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  3. 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
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  4. 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
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  5. 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
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  6. 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
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  7. On the Spectrum of Two-Particle Schrödinger Operator with Point Interaction

    Zahriddin Muminov, Уткир Кулжанов, Golibjon Ismoilov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20226 citations
    ABI

  8. The Existence and Asymptotics of Eigenvalues of Schrödinger Operator on Two Dimensional Lattices

    A. T. Boltaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20225 citations
    ABI

  9. The Spectrum of a Non-local Discrete Schrödinger Operator with a Delta Potential on the One-Dimentional Lattice

    Sh. S. Lakaev, Golibjon Ismoilov, O. I. Kurbonov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20235 citations
    ABI

  10. On the Existence of Bound States of a System of Two Fermions on the Two-Dimensional Cubic Lattice

    Saidakbar Kh. Abdukhakimov, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20235 citations
    ABI

  11. On the Essential Spectrum of Three-Particle Discrete Schrödinger Operators with Short-Range Potentials

    Z. E. Muminov, Sh. S. Lakaev, N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20215 citations
    ABI

  12. On the Number and Locations of Eigenvalues of the Discrete Schrödinger Operator on a Lattice

    M. O. Akhmadova, I. U. Alladustova, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 citations
    ABI

  13. Puiseux Series Expansion for Eigenvalue of the Generalized Friedrichs Model with the Perturbation of Rank One

    Sh. Kh. Kurbanov, Said T. Dustov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 citations
    ABI

  14. Infiniteness of the Discrete Spectrum of Two-Particle Discrete Schrödinger Operators

    Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20233 citations
    ABI

  15. On the Spectrum of the Discrete Schrödinger Operator of a Rank-Two Perturbation on $$\mathbb{Z}$$

    Sh. U. Alladustov, Fumio Hiroshima, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20242 citations
    ABI

  16. Threshold Analysis of the One-Rank Perturbation Non-Local Discrete Laplacian

    Sh. S. Lakaev, O. I. Kurbonov, Vasila Aktamova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20221 citations
    ABI

  17. On the Negative Eigenvalues of the Discrete Schrödinger Operator with Non-Local Potential in Three-Dimensional Case

    Sh. U. Alladustov, O. I. Kurbonov, H. Z. Axralov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20221 citations
    ABI

  18. On the Discrete Spectrum of a One-Dimensional Discrete Schrödinger Operator with a Perturbation of Rank One

    F. A. Madatova, M. Q. Qazibekov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20230 citations
    ABI

  19. Threshold Analysis of the Schrödinger Operator of the System of Three Particles with Masses $$m_1=m_2=\infty $$ and $$m_3<\infty $$

    Zahriddin Muminov, Shukhrat Alladustov

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20240 citations
    ABI