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Works citing this work

24 works

Work: Analysis of Operators

  1. 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

  2. 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
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  3. 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

  4. A discrete “three-particle” Schrödinger operator in the Hubbard model

    Yu. Kh. Èshkabilov

    ArticlePhysics of Superconductivity and MagnetismTheoretical and Mathematical Physics200618 citations
    ABI

  5. On the structure of the essential spectrum for the three‐particle Schrödinger operators on lattices

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsMathematische Nachrichten200717 citations
    ABI

  6. The Faddeev equation and the location of the essential spectrum of a model multi-particle operator

    Tulkin H. Rasulov

    ArticleQuantum and electron transport phenomenaRussian Mathematics200810 citations
    ABI

  7. 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

  8. 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

  9. On the structure of the essential spectrum of a model many-body Hamiltonian

    Tulkin H. Rasulov

    ArticleCold Atom Physics and Bose-Einstein CondensatesMathematical Notes200810 citations
    ABI

  10. 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

  11. Study of the essential spectrum of a matrix operator

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20107 citations
    ABI

  12. On infinity of the discrete spectrum of operators in the Friedrichs model

    Yu. Kh. Èshkabilov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Advances in Mathematics20127 citations
    ABI

  13. 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

  14. 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

  15. The number of eigenvalues of the two-particle discrete Schrödinger operator

    S. N. Lakaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20097 citations
    ABI

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

    Yu. Kh. Èshkabilov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20107 citations
    ABI

  17. Positivity of eigenvalues of the two-particle Schrödinger operator on a lattice

    S. N. Lakaev, Sh. U. Alladustov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20144 citations
    ABI

  18. Existence and analyticity of eigenvalues of a two-channel molecular resonance model

    S. N. Lakaev, Sh. M. Latipov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20114 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. An eigenvalue multiplicity formula for the Schur complement of a 3 × 3 block operator matrix

    M. I. Muminov, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Mathematical Journal20152 citations
    ABI

  22. 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

  23. 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

  24. 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