Skip to main content
AkademIndex

Products

For developers

AkademBaseOpen API for the ecosystem
← Back to work

Works citing this work

76 works

Work: The Threshold Effects for the Two-Particle Hamiltonians on Lattices

  1. Threshold Phenomena in the Spectrum of the Two-Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, A. T. Boltaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20197 citations
    ABI

  2. 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

  3. The number of eigenvalues of the two-particle discrete Schrödinger operator

    S. N. Lakaev, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20097 citations
    ABI

  4. On the Existence of an Eigenvalue of the Generalized Friedrichs Model

    M. I. Muminov, U. R. Shadiev

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20246 citations
    ABI

  5. On spectrum and threshold analysis for discrete Schrödinger operator

    Zahriddin Muminov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20216 citations
    ABI

  6. Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One

    S. N. Lakaev, Arsmah Ibrahim, Shaxzod Kurbanov

    ArticleSpectral Theory in Mathematical PhysicsAbstract and Applied Analysis20126 citations
    ABI

  7. 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

  8. On the Existence of Bound States of a System of Two Fermions on the Two-Dimensional Cubic Lattice

    Saidakbar Kh. Abdukhakimov, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20235 citations
    ABI

  9. 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

  10. 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

  11. 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

  12. Threshold analysis for a family of 2×2 operator matrices

    Tulkin H. Rasulov, Elyor B. Dilmurodov

    ArticleApproximation Theory and Sequence SpacesNanosystems Physics Chemistry Mathematics20195 citations
    ABI

  13. On the Number and Locations of Eigenvalues of the Discrete Schrödinger Operator on a Lattice

    M. O. Akhmadova, I. U. Alladustova, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 citations
    ABI

  14. 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

  15. 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

  16. 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

  17. Existence and analyticity of eigenvalues of a two-channel molecular resonance model

    S. N. Lakaev, Sh. M. Latipov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20114 citations
    ABI

  18. 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

  19. 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

  20. 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

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

    Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20233 citations
    ABI

  22. 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

  23. On the existence of the maximum number of isolated eigenvalues for a lattice Schrödinger operator

    S. N. Lakaev, D. A. Latipova, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20262 citations
    ABI

  24. Threshold phenomenon for a family of the generalized Friedrichs models with the perturbation of rank one

    S. N. Lakaev, Maslina Darus, Said T. Dustov

    ArticleSpectral Theory in Mathematical PhysicsUfimskii Matematicheskii Zhurnal20192 citations
    ABI

  25. On the Spectrum of the Discrete Schrödinger Operator of a Rank-Two Perturbation on $$\mathbb{Z}$$

    Sh. U. Alladustov, Fumio Hiroshima, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20242 citations
    ABI