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Works citing this work

33 works

Work: Essential and Discrete Spectra of the Three-Particle Schrödinger Operator on a Lattice

  1. 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
    ABI

  2. Positivity of the two-particle Hamiltonian on a lattice

    M. I. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200713 citations
    ABI

  3. 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

  4. Spectral properties of a two-particle Hamiltonian on a lattice

    M. I. Muminov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201310 citations
    ABI

  5. The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice

    M. I. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200910 citations
    ABI

  6. Discrete eigenvalues of a 2 × 2 operator matrix

    Elyor B. Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20238 citations
    ABI

  7. Spectral properties of a Hamiltonian of a four-particle system on a lattice

    M. I. Muminov, U. R. Shodiev

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20107 citations
    ABI

  8. Spectrum of the three-particle Schrödinger operator on a one-dimensional lattice

    M. I. Muminov, N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20127 citations
    ABI

  9. Multiplicity of virtual levels at the lower edge of the continuous spectrum of a two-particle Hamiltonian on a lattice

    M. I. Muminov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20147 citations
    ABI

  10. 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

  11. Invariant Subspaces and Eigenvalues of the Three-Particle Discrete Schrödinger Operators

    J. I. Abdullaev, A. M. Khalkhuzhaev, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20237 citations
    ABI

  12. On the essential spectrum of a four-particle Schrödinger operator on a lattice

    M. I. Muminov, U. R. Shodiev

    ArticleSpectral Theory in Mathematical PhysicsSiberian Advances in Mathematics20116 citations
    ABI

  13. A Hunziker-van Winter-Zhislin theorem for a four-particle lattice Schrödinger operator

    M. I. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20066 citations
    ABI

  14. On the number of eigenvalues of a matrix operator

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Mathematical Journal20115 citations
    ABI

  15. On the discrete spectrum of partial integral operators

    Yu. Kh. Èshkabilov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Advances in Mathematics20133 citations
    ABI

  16. 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

  17. Discrete spectrum of a model operator in Fock space

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20073 citations
    ABI

  18. Finiteness of the discrete spectrum of the Schrödinger operator of three particles on a lattice

    M. I. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20082 citations
    ABI

  19. 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

  20. Essential spectrum of a model operator associated with a three-particle system on a lattice

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20112 citations
    ABI

  21. On the Discrete Spectrum of the Three-Particle Schrödinger Operator on a Two-Dimensional Lattice

    Zahriddin Muminov, N. M. Aliev, Tirkash Radjabov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20222 citations
    ABI

  22. 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

  23. Investigation of the spectrum of a model operator in a Fock space

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20092 citations
    ABI

  24. On finiteness of discrete spectrum of three-particle Schrödinger operator on a lattice

    M. I. Muminov, Yo. M. Shermatova

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20162 citations
    ABI

  25. 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