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Works citing this work

74 works

Work: The Efimov effect. Discrete spectrum asymptotics

  1. 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

  2. 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

  3. Threshold Phenomena in the Spectrum of the Two-Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, A. T. Boltaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20197 citations
    ABI

  4. On the spectrum of Schrödinger-type operators on two dimensional lattices

    Shokhrukh Yu. Kholmatov, S. N. Lakaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications20227 citations
    ABI

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

    Yu. Kh. Èshkabilov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20107 citations
    ABI

  6. On the essential spectrum of a four-particle Schrödinger operator on a lattice

    M. I. Muminov, U. R. Shodiev

    ArticleSpectral Theory in Mathematical PhysicsSiberian Advances in Mathematics20116 citations
    ABI

  7. 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

  8. On the number of eigenvalues of a model operator in fermionic Fock space

    Zahriddin Muminov, Fudziah Ismail, Z. K. Eshkuvatov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20135 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 and analyticity of bound states of a two-particle Schrödinger operator on a lattice

    S. N. Lakaev, Собир Сахибжанович Улашов

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20125 citations
    ABI

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

    M. I. Muminov, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsOpuscula Mathematica20145 citations
    ABI

  12. On the number of eigenvalues of a matrix operator

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Mathematical Journal20115 citations
    ABI

  13. 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

  14. The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices

    S. N. Lakaev, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20234 citations
    ABI

  15. Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice

    S. N. Lakaev, Сайдазим Мамарахимович Саматов

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20014 citations
    ABI

  16. 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

  17. Бесконечность числа собственных значений операторных $(2\times 2)$-матриц. Асимптотика дискретного спектра

    Tulkin H. Rasulov, Elyuor Bakhtiyorovich Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20203 citations
    ABI

  18. On the finiteness of the discrete spectrum of four-particle lattice Schrödinger operators

    Sergio Albeverio, S. N. Lakaev, J. I. Abdullaev

    ArticleSpectral Theory in Mathematical PhysicsReports on Mathematical Physics20033 citations
    ABI

  19. Пороговые эффекты в системе двух фермионов на оптической решетке

    S. N. Lakaev, Saidakbar Khazratkul ugli Abdukhakimov

    ArticleDifferential Equations and Boundary ProblemsТеоретическая и математическая физика20203 citations
    ABI

  20. 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

  21. Finiteness of the discrete spectrum of the Schrödinger operator of three particles on a lattice

    M. I. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20082 citations
    ABI

  22. 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

  23. On the Discrete Spectrum of a Model Operator in Fermionic Fock Space

    Zahriddin Muminov, Fudziah Ismail, Z. K. Eshkuvatov +1

    ArticleSpectral Theory in Mathematical PhysicsAbstract and Applied Analysis20132 citations
    ABI

  24. 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

  25. On the Discrete Spectrum of the Three-Particle Schrödinger Operator on a Two-Dimensional Lattice

    Zahriddin Muminov, N. M. Aliev, Tirkash Radjabov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20222 citations
    ABI