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8 works

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

  1. Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions

    S. N. Lakaev, А. К. Мотовилов, Saidakbar Kh. Abdukhakimov

    ArticleCold Atom Physics and Bose-Einstein CondensatesJournal of Physics A Mathematical and Theoretical202311 citations
    ABI

  2. 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

  3. 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

  4. 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

  5. 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

  6. Discrete Spectrum of the Schrödinger Operator of a System of Three Fermions on a One Dimensional Lattice

    J. I. Abdullaev, Sh. H. Ergashova

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20251 citations
    ABI

  7. Convergent Expansions of Eigenvalues of the Generalized Friedrichs Model with a Rank-One Perturbation

    S. N. Lakaev, Shakhzod Kurbanov, Sh. U. Alladustov

    PreprintSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20210 citations
    ABI

  8. Eigenvalues of the Schrödinger Operator Corresponding to a System of Three Fermions on a One Dimensional Lattice

    J. I. Abdullaev, Sh. H. Ergashova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI