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A. M. Khalkhuzhaev

24 works

Samarkand State University, Samarkand, Uzbekistan

  1. 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
    ABI

  2. Spectrum of the two-particle Schrödinger operator on a lattice

    S. N. Lakaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200811 citations
    ABI

  3. The Number of Eigenvalues of the Three-Particle Schrödinger Operator on Three Dimensional Lattice

    A. M. Khalkhuzhaev, J. I. Abdullaev, J. Kh. Boymurodov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20229 citations
    ABI

  4. Monotonicity of the eigenvalues of the two-particle Schrödinger operatoron a lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, L.S. Usmonov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20217 citations
    ABI

  5. 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

  6. 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

  7. 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

  8. Existence condition of an eigenvalue of the three particle Schr¨odinger operator on a lattice

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

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20236 citations
    ABI

  9. 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

  10. 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

  11. Expansion of eigenvalues of the perturbed discrete bilaplacian

    Shokhrukh Yu. Kholmatov, A. M. Khalkhuzhaev, Mardon Pardabaev

    ArticleSpectral Theory in Mathematical PhysicsMonatshefte für Mathematik20224 citations
    ABI

  12. Bound states of the Schrödinger operator of a system of three bosons on a lattice

    S. N. Lakaev, A. R. Khalmukhamedov, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20163 citations
    ABI

  13. The existence of eigenvalues of Schrödinger operator on a lattice in the gap of the essential spectrum

    J. I. Abdullaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20212 citations
    ABI

  14. On the Existence of Eigenvalues of the Three-Particle Discrete Schrödinger Operator

    J. I. Abdullaev, J. Kh. Boymurodov, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsMathematical Notes20231 citations
    ABI

  15. Expansions of eigenvalues of a discrete bilaplacian with two-dimensional perturbation

    Tulkin H. Rasulov, A. M. Khalkhuzhaev, Mardon Pardabaev +1

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20241 citations
    ABI

  16. On the spectrum of the Schrödinger operator for a three-particle system on a lattice

    A. M. Khalkhuzhaev, Kh. G. Khayitova, I. A. Khujamiyorov

    ArticleSpectral Theory in Mathematical PhysicsUčenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki20251 citations
    ABI

  17. On the discrete spectrum of the Schrödinger operator using the 2+1 fermionic trimer on the lattice

    A. M. Khalkhuzhaev, I. A. Khujamiyorov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20231 citations
    ABI

  18. О существовании собственных значений трехчастичного дискретного оператора Шрeдингера

    Жаникул Ибрагимович Абдуллаев, Jurabek Khusanovich Boymurodov, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsМатематические заметки20230 citations
    ABI

  19. 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

  20. Expansions of Eigenvalues of a Discrete Bilaplacian with a Two-Dimensional Perturbation

    Tulkin H. Rasulov, A. M. Khalkhuzhaev, Mardon Pardabaev +1

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20240 citations
    ABI

  21. 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

  22. 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

  23. 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 PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20250 citations
    ABI

  24. Bound states of strongly interacting three-body systems on a lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, J. Kh. Boymurodov

    ArticleCold Atom Physics and Bose-Einstein CondensatesComplex Analysis and Operator Theory20250 citations
    ABI