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Works citing this work

17 works

Work: The existence of bound states in a system of three particles in an optical lattice

  1. On the Number of Eigenvalues of the Lattice Model Operator in One-Dimensional Case

    I. N. Bozorov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202216 citations
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  2. 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
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  3. 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
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  4. 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
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  5. 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
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  6. 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

  7. Number of Bound States of the Hamiltonian of a Lattice Two-boson System with Interactions up to the Next Neighboring Sites

    S. N. Lakaev, Sh. I. Khamidov, M. O. Akhmadova

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20243 citations
    ABI

  8. 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

  9. Asymtotic of the Discrete Spectrum of the Three-Particle Schrödinger Operator on a One-Dimensional Lattice

    N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20232 citations
    ABI

  10. The existence of eigenvalues of Schrödinger operator on a lattice in the gap of the essential spectrum

    J. I. Abdullaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20212 citations
    ABI

  11. On the Existence of Eigenvalues of the Three-Particle Discrete Schrödinger Operator

    J. I. Abdullaev, J. Kh. Boymurodov, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsMathematical Notes20231 citations
    ABI

  12. Bound States of a Lattice Two-Boson System with Interactions up to the Next Neighboring Sites

    S. N. Lakaev, Saodat Sharipova

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20241 citations
    ABI

  13. О существовании собственных значений трехчастичного дискретного оператора Шрeдингера

    Жаникул Ибрагимович Абдуллаев, Jurabek Khusanovich Boymurodov, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsМатематические заметки20230 citations
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  14. Threshold Analysis of the Schrödinger Operator of the System of Three Particles with Masses $$m_1=m_2=\infty $$ and $$m_3<\infty $$

    Zahriddin Muminov, Shukhrat Alladustov

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20240 citations
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  15. Существование трехчастичных связанных состояний в оптической решетке

    S. N. Lakaev, Sh. I. Khamidov, Собир Сахибжанович Улашов

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20250 citations
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  16. Existence of three-particle bound states in optical lattice

    S. N. Lakaev, Sh Khamidov, S. S. Ulashov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20250 citations
    ABI

  17. Two-fermion lattice Schrödinger operators with first and second nearest-neighboring-site interactions

    S. N. Lakaev, S. Kh. Abdukhakimov, A. B. Khasanov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20260 citations
    ABI