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Works citing this work

11 works

Work: Spectrum of the two-particle Schrödinger operator on a lattice

  1. The essential spectrum of the three-particle discrete operator corresponding to a system of three fermions on a lattice

    A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20177 citations
    ABI

  2. On the existence of eigenvalues of the one particle discrete Schrödinger operators

    A. M. Khalkhuzhaev, Sh. I. Khamidov, Habibullo Mahmudov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20245 citations
    ABI

  3. Existence Condition for the Eigenvalue of a Three-Particle Schrödinger Operator on a Lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, I. A. Khujamiyorov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20235 citations
    ABI

  4. Discrete Spectrum of the Schrödinger Operator of a System of Three Fermions on a One Dimensional Lattice

    J. I. Abdullaev, Sh. H. Ergashova

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20251 citations
    ABI

  5. DISCRETE SPECTRUM ASYMPTOTICS FOR THE TWO-PARTICLE SCHRÖDINGER OPERATOR ON A LATTICE

    J. I. Abdullaev, A. M. Khalkhuzhaev, K. O. Makhmudov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Sciences20240 citations
    ABI

  6. Eigenvalues of the Schrödinger Operator Corresponding to a System of Three Fermions on a One Dimensional Lattice

    J. I. Abdullaev, Sh. H. Ergashova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI

  7. Threshold effects in spectra of one-particle operators

    Firdavsjon M. Almuratov, Salokhiddin Alimov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20240 citations
    ABI

  8. The Infiniteness of the Number of Eigenvalues of the Schrödinger Operator of a System of Two Particles on a Lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, Kh. Sh. Makhmudov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI

  9. On the Infinite Number of Eigenvalues of the Two-Particle Schrödinger Operator on a Lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, Yu. S. Shotemirov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20240 citations
    ABI

  10. On the Spectrum of the Two-Particle Schrödinger Operator with Point Potential: Two Dimensional Case

    Utkir Kuljanov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20250 citations
    ABI

  11. Below-Threshold Effects for the Two Particle Discrete Schrödinger Operator on a Lattice

    I. N. Bozorov, Sh Khamidov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20250 citations
    ABI