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Works citing this work

24 works

Work: The efimov effect of three-body schrödinger operators: Asymptotics for the number of negative eigenvalues

  1. Schrödinger Operators on Lattices.The Efimov Effect and Discrete Spectrum Asymptotics

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsAnnales Henri Poincaré200482 citations
    ABI

  2. The Threshold Effects for the Two-Particle Hamiltonians on Lattices

    Sergio Albeverio, S. N. Lakaev, Konstantin A. Makarov +1

    ArticleSpectral Theory in Mathematical PhysicsCommunications in Mathematical Physics200576 citations
    ABI

  3. The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice

    S. N. Lakaev, I. N. Bozorov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200932 citations
    ABI

  4. On the Spectrum of an Hamiltonian in Fock Space. Discrete Spectrum Asymptotics

    Sergio Albeverio, S. N. Lakaev, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Statistical Physics200730 citations
    ABI

  5. On the number of eigenvalues of a model operator associated to a system of three-particles on lattices

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsRussian Journal of Mathematical Physics200722 citations
    ABI

  6. Threshold of discrete Schrödinger operators with delta potentials on <i>n</i>-dimensional lattice

    Fumio Hiroshima, Zahriddin Muminov, Utkir Kuljanov

    ArticleSpectral Theory in Mathematical PhysicsLinear and Multilinear Algebra202021 citations
    ABI

  7. Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201019 citations
    ABI

  8. The threshold effects for a family of Friedrichs models under rank one perturbations

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications200616 citations
    ABI

  9. The number of eigenvalues of three-particle Schrödinger operators on lattices

    Sergio Albeverio, Gian Fausta Dell Antonio, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical200715 citations
    ABI

  10. Threshold effects in a two-fermion system on an optical lattice

    S. N. Lakaev, S. H. Abdukhakimov

    ArticleCold Atom Physics and Bose-Einstein CondensatesTheoretical and Mathematical Physics202013 citations
    ABI

  11. Infinite number of eigenvalues of $$2{\times}2$$ operator matrices: Asymptotic discrete spectrum

    Tulkin H. Rasulov, Elyor B. Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics202011 citations
    ABI

  12. 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

  13. 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

  14. 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

  15. 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

  16. On the number of eigenvalues of a matrix operator

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Mathematical Journal20115 citations
    ABI

  17. 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

  18. 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

  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. 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

  21. 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

  22. 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

  23. Investigation of the number of negative eigenvalues of a third-order operator matrix on a non-integer lattice

    T. H. Rasulov, Sh. B. Nematova

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20260 citations
    ABI

  24. Investigation of the Number of Negative Eigenvalues of a Third-Order Operator Matrix on a Noninteger Lattice

    T. H. Rasulov, Sh. B. Nematova

    ArticleMatrix Theory and AlgorithmsRussian Mathematics20260 citations
    ABI