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19 works

Work: Existence of an isolated band in a system of three particles in an optical lattice

  1. The existence of bound states in a system of three particles in an optical lattice

    Saidakhmat N Lakaev, Shukhrat S Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201717 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
    ABI

  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
    ABI

  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
    ABI

  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. 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

  9. 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

  10. 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

  11. On the spectrum of the Schrödinger operator for a three-particle system on a lattice

    A. M. Khalkhuzhaev, Kh. G. Khayitova, I. A. Khujamiyorov

    ArticleSpectral Theory in Mathematical PhysicsUčenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki20251 citations
    ABI

  12. On the discrete spectrum of the Schrödinger operator using the 2+1 fermionic trimer on the lattice

    A. M. Khalkhuzhaev, I. A. Khujamiyorov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20231 citations
    ABI

  13. О существовании собственных значений трехчастичного дискретного оператора Шрeдингера

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    ABI

  14. DISCRETE SPECTRUM ASYMPTOTICS FOR THE TWO-PARTICLE SCHRÖDINGER OPERATOR ON A LATTICE

    J. I. Abdullaev, A. M. Khalkhuzhaev, K. O. Makhmudov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Sciences20240 citations
    ABI

  15. 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
    ABI

  16. Bound states of strongly interacting three-body systems on a lattice

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

    ArticleCold Atom Physics and Bose-Einstein CondensatesComplex Analysis and Operator Theory20250 citations
    ABI

  17. 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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  18. 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

  19. 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