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82 works

Work: Schrödinger Operators on Lattices.The Efimov Effect and Discrete Spectrum Asymptotics

  1. 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

  2. The Efimov effect for a model “three-particle” discrete Schrödinger operator

    Yu. Kh. Èshkabilov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20107 citations
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  3. 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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  4. On the number of eigenvalues of a model operator in fermionic Fock space

    Zahriddin Muminov, Fudziah Ismail, Z. K. Eshkuvatov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20135 citations
    ABI

  5. The Spectrum of a Non-local Discrete Schrödinger Operator with a Delta Potential on the One-Dimentional Lattice

    Sh. S. Lakaev, Golibjon Ismoilov, O. I. Kurbonov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20235 citations
    ABI

  6. On the existence of eigenvalues of the one particle discrete Schrödinger operators

    A. M. Khalkhuzhaev, Sh. I. Khamidov, Habibullo Mahmudov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20245 citations
    ABI

  7. Existence and analyticity of bound states of a two-particle Schrödinger operator on a lattice

    S. N. Lakaev, Собир Сахибжанович Улашов

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20125 citations
    ABI

  8. On the Essential Spectrum of Three-Particle Discrete Schrödinger Operators with Short-Range Potentials

    Z. E. Muminov, Sh. S. Lakaev, N. M. Aliev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20215 citations
    ABI

  9. Puiseux series expansion for an eigenvalue of the generalized Friedrichs model with perturbation of rank 1

    S. N. Lakaev, Maslina Darus, Shaxzod Kurbanov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical20135 citations
    ABI

  10. On the number of eigenvalues of a matrix operator

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsSiberian Mathematical Journal20115 citations
    ABI

  11. 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

  12. Puiseux Series Expansion for Eigenvalue of the Generalized Friedrichs Model with the Perturbation of Rank One

    Sh. Kh. Kurbanov, Said T. Dustov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 citations
    ABI

  13. The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices

    S. N. Lakaev, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20234 citations
    ABI

  14. Positivity of eigenvalues of the two-particle Schrödinger operator on a lattice

    S. N. Lakaev, Sh. U. Alladustov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20144 citations
    ABI

  15. 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

  16. Бесконечность числа собственных значений операторных $(2\times 2)$-матриц. Асимптотика дискретного спектра

    Tulkin H. Rasulov, Elyuor Bakhtiyorovich Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20203 citations
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  17. Пороговые эффекты в системе двух фермионов на оптической решетке

    S. N. Lakaev, Saidakbar Khazratkul ugli Abdukhakimov

    ArticleDifferential Equations and Boundary ProblemsТеоретическая и математическая физика20203 citations
    ABI

  18. 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

  19. Bound states of the Schrödinger operator of a system of three bosons on a lattice

    S. N. Lakaev, A. R. Khalmukhamedov, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20163 citations
    ABI

  20. Infiniteness of the Discrete Spectrum of Two-Particle Discrete Schrödinger Operators

    Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20233 citations
    ABI

  21. On the Discrete Spectrum of a Model Operator in Fermionic Fock Space

    Zahriddin Muminov, Fudziah Ismail, Z. K. Eshkuvatov +1

    ArticleSpectral Theory in Mathematical PhysicsAbstract and Applied Analysis20132 citations
    ABI

  22. 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

  23. Spectral analysis of two-particle Hamiltonians with short-range interactions

    M. O. Akhmadova, M. A. Azizova

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20252 citations
    ABI

  24. 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

  25. The Faddeev Equation and the Essential Spectrum of a Model Operator Associated with the Hamiltonian of a Nonconserved Number of Particles

    Zahriddin Muminov, Fudziah Ismail, Jamshid Rasulov

    ArticleQuantum and electron transport phenomenaAdvances in Mathematical Physics20142 citations
    ABI