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Works citing this work

101 works

Work: The few-body problem on a lattice

  1. The threshold effects for a family of Friedrichs models under rank one perturbations

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    PreprintSpectral Theory in Mathematical PhysicsArXiv.org20061 citations
    ABI

  2. Essential Schrödinger operator spectrum of one system of four particles on a lattice

    Zh. I. Abdullaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20001 citations
    ABI

  3. Spectrum of the energy operator of a two-magnon system in the three-dimensional isotropic Heisenberg ferromagnet model with impurity

    S. M. Tashpulatov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20101 citations
    ABI

  4. A description of the location and structure of the essential spectrum of a model operator in a subspace of a Fock space

    G R Yodgorov, Fudziah Ismail, Zahriddin Muminov

    ArticleCold Atom Physics and Bose-Einstein CondensatesSbornik Mathematics20140 citations
    ABI

  5. On compact perturbation of two-particle Schrödinger operator on a lattice

    M. I. Muminov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20150 citations
    ABI

  6. On the structure of the essential spectrum for discrete Schrödinger operators associated with three-particle system

    Sh. S. Lakaev, Tirkash Radjabov, N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsBulletin of National University of Uzbekistan Mathematics and Natural Sciences20210 citations
    ABI

  7. Four-Electron Systems in the Impurity Hubbard Model. Second Triplet State. Spectra of the System in the <i>ν</i>-Dimensional Lattice <i>Z<sup>ν</sup></i>

    S. M. Tashpulatov, R. T. Parmanova

    ArticlePhysics of Superconductivity and MagnetismJournal of Applied Mathematics and Physics20230 citations
    ABI

  8. О существовании собственных значений трехчастичного дискретного оператора Шрeдингера

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

    ArticleSpectral Theory in Mathematical PhysicsМатематические заметки20230 citations
    ABI

  9. Structure of essential spectra and discrete spectrum of the energy operator of four-electron systems in the impurity Hubbard model. Quintet state. In the two- and three-dimensional lattice

    S. M. Tashpulatov, Rukhsat Parmanova

    ArticlePhysics of Superconductivity and MagnetismAIP conference proceedings20240 citations
    ABI

  10. 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

  11. 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

  12. ON THE SPECTRAL PROPERTIES OF THE MODEL OPERATOR ON A FERMIONIC FOCK SPACE

    Zahriddin Muminov, Shuhrat Alladustov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Sciences and Informatics20240 citations
    ABI

  13. The Infiniteness of the Number of Eigenvalues of the Schrödinger Operator of a System of Two Particles on a Lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, Kh. Sh. Makhmudov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI

  14. The Threshold Effects for the Two Particle Discrete Schrödinger Operators on Lattices

    S. N. Lakaev, I. N. Bozorov, Sh. I. Khamidov

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics20240 citations
    ABI

  15. On the Infinite Number of Eigenvalues of the Two-Particle Schrödinger Operator on a Lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, Yu. S. Shotemirov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20240 citations
    ABI

  16. The Number and Location of Eigenvalues of Two Particle Schrödinger Operators on a Lattice

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

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI

  17. On the infinite number of eigenvalues of the two-particle Schrödinger operator on a lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, Yu. S. Shotemirov

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20250 citations
    ABI

  18. On the Spectrum of the Two-Particle Schrödinger Operator with Point Potential: Two Dimensional Case

    Utkir Kuljanov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20250 citations
    ABI

  19. Determination of the critical and point spectrum of a model operator corresponding to a three-particle system on a lattice

    Tulkin H. Rasulov, Bekzod I. Bahronov, Nargiza Ahmedovna Tosheva

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20250 citations
    ABI

  20. Below-threshold effects for the two particle discrete Schr¨odinger operator on a lattice

    I. N. Bozorov, Sh. I. Khamidov

    ArticleCold Atom Physics and Bose-Einstein CondensatesIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20250 citations
    ABI

  21. 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
    ABI

  22. 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

  23. A Two-Boson 2D Lattice Hamiltonian with Interactions up to Next-to-Neighboring Sites

    S. N. Lakaev, A. K. Motovilov, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20250 citations
    ABI

  24. Below-Threshold Effects for the Two Particle Discrete Schrödinger Operator on a Lattice

    I. N. Bozorov, Sh Khamidov

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20250 citations
    ABI

  25. Investigation of the number of negative eigenvalues of a third-order operator matrix on a non-integer lattice

    T. H. Rasulov, Sh. B. Nematova

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20260 citations
    ABI