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Works citing this work

21 works

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

  1. 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
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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. Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions

    S. N. Lakaev, А. К. Мотовилов, Saidakbar Kh. Abdukhakimov

    ArticleCold Atom Physics and Bose-Einstein CondensatesJournal of Physics A Mathematical and Theoretical202311 citations
    ABI

  5. 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

  6. On spectrum and threshold analysis for discrete Schrödinger operator

    Zahriddin Muminov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20216 citations
    ABI

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices

    S. N. Lakaev, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20234 citations
    ABI

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

    Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20233 citations
    ABI

  14. On the existence of the maximum number of isolated eigenvalues for a lattice Schrödinger operator

    S. N. Lakaev, D. A. Latipova, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20262 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. 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

  17. Threshold Analysis of the Schrödinger Operator of the System of Three Particles with Masses $$m_1=m_2=\infty $$ and $$m_3&lt;\infty $$

    Zahriddin Muminov, Shukhrat Alladustov

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20240 citations
    ABI

  18. The Threshold Effects for the Two Particle Discrete Schrödinger Operators on Lattices

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

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20240 citations
    ABI

  19. Существование трехчастичных связанных состояний в оптической решетке

    S. N. Lakaev, Sh. I. Khamidov, Собир Сахибжанович Улашов

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20250 citations
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  20. Existence of three-particle bound states in optical lattice

    S. N. Lakaev, Sh Khamidov, S. S. Ulashov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20250 citations
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  21. A Two-Boson 2D Lattice Hamiltonian with Interactions up to Next-to-Neighboring Sites

    S. N. Lakaev, A. K. Motovilov, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20250 citations
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