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Works cited by this work

19 works

Work: Eigenvalues of the Schrödinger Operator Corresponding to a System of Three Fermions on a One Dimensional Lattice

  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 Efimov effect. Discrete spectrum asymptotics

    A. V. Sobolev

    Article199374 citations
    ABI

  3. 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

  4. 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

  5. Conditions for the Existence of Eigenvalues of a Three-Particle Lattice Model Hamiltonian

    Bekzod I. Bahronov, Tulkin H. Rasulov, Mubashar Rehman

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics202314 citations
    ABI

  6. Bound states of a system of two fermions on a one-dimensional lattice

    J. I. Abdullaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200613 citations
    ABI

  7. 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

  8. Invariant Subspaces of the Shrödinger Operator with a Finite Support Potential

    J. I. Abdullaev, A. M. Toshturdiev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202210 citations
    ABI

  9. 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

  10. Efimov Effect for a Three-Particle System with Two Identical Fermions

    Giulia Basti, Alessandro Teta

    Article20179 citations
    ABI

  11. Three resonating fermions in flatland: proof of the super Efimov effect and the exact discrete spectrum asymptotics

    D. K. Gridnev

    Article20148 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. 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

  14. Untitled

    Other6 citations
    ABI

  15. Existence of the eigenvalues of a tensor sum of the Friedrichs models with rank 2 perturbation

    Tulkin H. Rasulov, Bekzod I. Bahronov

    ArticleAdvanced Differential Geometry ResearchNanosystems Physics Chemistry Mathematics20236 citations
    ABI

  16. On the Existence of Bound States of a System of Two Fermions on the Two-Dimensional Cubic Lattice

    Saidakbar Kh. Abdukhakimov, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20235 citations
    ABI

  17. A system of three quantum particles with point-like interactions

    R. A. Minlos

    Article20145 citations
    ABI

  18. Finiteness of the discrete spectrum for non-trivial values of the full quasi-momentum in the system of three bosons on a lattice

    Жаникул Ибрагимович Абдуллаев

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematical Surveys20074 citations
    ABI

  19. On Point-Like Interaction of Three Particles: Two Fermions and Another Particle. II

    R. A. Minlos

    Article20144 citations
    ABI