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21 works

Work: Asymptotics of the Discrete Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice

  1. On the Spectrum of an Hamiltonian in Fock Space. Discrete Spectrum Asymptotics

    Sergio Albeverio, S. N. Lakaev, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Statistical Physics200730 citations
    ABI

  2. 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
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  3. 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
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  4. Infinite number of eigenvalues of $$2{\times}2$$ operator matrices: Asymptotic discrete spectrum

    Tulkin H. Rasulov, Elyor B. Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics202011 citations
    ABI

  5. 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

  6. Discrete eigenvalues of a 2 × 2 operator matrix

    Elyor B. Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20238 citations
    ABI

  7. 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

  8. The Efimov effect for a model “three-particle” discrete Schrödinger operator

    Yu. Kh. Èshkabilov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20107 citations
    ABI

  9. On the number of eigenvalues of a matrix operator

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Mathematical Journal20115 citations
    ABI

  10. Finiteness of the discrete spectrum for non-trivial values of the full quasi-momentum in the system of three bosons on a lattice

    Жаникул Ибрагимович Абдуллаев

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematical Surveys20074 citations
    ABI

  11. Бесконечность числа собственных значений операторных $(2\times 2)$-матриц. Асимптотика дискретного спектра

    Tulkin H. Rasulov, Elyuor Bakhtiyorovich Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20203 citations
    ABI

  12. Пороговые эффекты в системе двух фермионов на оптической решетке

    S. N. Lakaev, Saidakbar Khazratkul ugli Abdukhakimov

    ArticleDifferential Equations and Boundary ProblemsТеоретическая и математическая физика20203 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. Formula for the number of eigenvalues of a three-particle Schrödinger operator on a lattice

    M. I. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20102 citations
    ABI

  15. Asymtotic of the Discrete Spectrum of the Three-Particle Schrödinger Operator on a One-Dimensional Lattice

    N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20232 citations
    ABI

  16. The existence of eigenvalues of Schrödinger operator on a lattice in the gap of the essential spectrum

    J. I. Abdullaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20212 citations
    ABI

  17. Discrete spectrum of a noncompact perturbation of a three-particle Schrödinger operator on a lattice

    M. I. Muminov, N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20152 citations
    ABI

  18. Asymptotic behavior of eigenvalues of the two-particle discrete Schrödinger operator

    J. I. Abdullaev, Бердиeр Улугбекович Мамиров

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20131 citations
    ABI

  19. The Point Spectrum of the Three-Particle Schrödinger Operator on $$\boldsymbol{\mathbb{Z}}$$ with Masses $$\boldsymbol{m_{1}=m_{2}=\infty}$$ and $$\boldsymbol{m_{3}<\infty}$$

    Zahriddin Muminov, Vasila Aktamova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI

  20. Bound states of strongly interacting three-body systems on a lattice

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

    ArticleCold Atom Physics and Bose-Einstein CondensatesComplex Analysis and Operator Theory20250 citations
    ABI

  21. Investigation of the Number of Negative Eigenvalues of a Third-Order Operator Matrix on a Noninteger Lattice

    T. H. Rasulov, Sh. B. Nematova

    ArticleMatrix Theory and AlgorithmsRussian Mathematics20260 citations
    ABI