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Works citing this work

34 works

Work: On the infinite number of three-particle bound states of a system of three quantum lattice particles

  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. Essential and Discrete Spectra of the Three-Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, M. É. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200333 citations
    ABI

  3. 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

  4. 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

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

    Gianfausto Dell’Antonio, Zahriddin Muminov, Yo. M. Shermatova

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201122 citations
    ABI

  6. Asymptotics of the Discrete Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice

    J. I. Abdullaev, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200321 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. On the structure of the essential spectrum for the three‐particle Schrödinger operators on lattices

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsMathematische Nachrichten200717 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. 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

  11. Spectral properties of a two-particle Hamiltonian on a lattice

    M. I. Muminov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201310 citations
    ABI

  12. The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles

    Sergio Albeverio, S. N. Lakaev, Ramiza Kh. Djumanova

    ArticleSpectral Theory in Mathematical PhysicsReports on Mathematical Physics200910 citations
    ABI

  13. The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice

    M. I. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200910 citations
    ABI

  14. On the structure of the essential spectrum of a model many-body Hamiltonian

    Tulkin H. Rasulov

    ArticleCold Atom Physics and Bose-Einstein CondensatesMathematical Notes200810 citations
    ABI

  15. Discrete eigenvalues of a 2 × 2 operator matrix

    Elyor B. Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20238 citations
    ABI

  16. On infinity of the discrete spectrum of operators in the Friedrichs model

    Yu. Kh. Èshkabilov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Advances in Mathematics20127 citations
    ABI

  17. The Essential Spectrum of a Three Particle Schrödinger Operator on Lattices

    S. N. Lakaev, A. T. Boltaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20237 citations
    ABI

  18. Spectrum of the three-particle Schrödinger operator on a one-dimensional lattice

    M. I. Muminov, N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20127 citations
    ABI

  19. 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

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

    Yu. Kh. Èshkabilov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20107 citations
    ABI

  21. On the Essential Spectrum of Three-Particle Discrete Schrödinger Operators with Short-Range Potentials

    Z. E. Muminov, Sh. S. Lakaev, N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20215 citations
    ABI

  22. On the number of eigenvalues of a matrix operator

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Mathematical Journal20115 citations
    ABI

  23. 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

  24. 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

  25. The spectrum of the Hamiltonian of a system of three quantum particles on a lattice

    S. N. Lakaev, M. Shermatov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematical Surveys19993 citations
    ABI