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Works citing this work

10 works

Work: Spectral properties of a 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. 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

  5. On the Number of Components of the Essential Spectrum of One 2 × 2 Operator Matrix

    M. I. Muminov, I. N. Bozorov, Tulkin H. Rasulov

    ArticleMatrix Theory and AlgorithmsRussian Mathematics20242 citations
    ABI

  6. 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

  7. 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

  8. On compact perturbation of two-particle Schrödinger operator on a lattice

    M. I. Muminov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20150 citations
    ABI

  9. 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

  10. Spectral properties of a two-boson system on a three-dimensional lattice

    A. A. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20260 citations
    ABI