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Works citing this work

13 works

Work: Positivity of the two-particle Hamiltonian on a lattice

  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
    ABI

  2. On eigenvalues and virtual levels of a two-particle Hamiltonian on a d-dimensional lattice

    M. I. Muminov, A.M. Khurramov, I. N. Bozorov

    ArticleQuantum chaos and dynamical systemsNanosystems Physics Chemistry Mathematics202315 citations
    ABI

  3. Conditions for the existence of bound states of a two-particle Hamiltonian on a three-dimensional lattice

    M. I. Muminov, A.M. Khurramov, I. N. Bozorov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics202213 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. 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

  6. 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

  7. On the eigenvalues of a 2ˣ2 block operator matrix

    M. I. Muminov, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsOpuscula Mathematica20145 citations
    ABI

  8. 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

  9. Spectral properties of two particle Hamiltonian on one-dimensional lattice

    M. I. Muminov, Abdimazhid Molikovich Hurramov

    ArticleQuantum chaos and dynamical systemsUfimskii Matematicheskii Zhurnal20142 citations
    ABI

  10. 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

  11. The Threshold Effects for the Three-Particle Hamiltonians on Lattices

    M. I. Muminov, Zarina Asrorova

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20251 citations
    ABI

  12. Spectral Properties of the Hamiltonian of a Two-Fermion System

    M. I. Muminov, A. M. Khurramov

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20251 citations
    ABI

  13. The Spectrum of Discrete Schrödinger Operator on a Three Dimensional Triangular Lattice with a Finite-range Potential

    M. I. Muminov, J. A. Pardaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI