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Works citing this work

18 works

Work: Bound states and resonances ofN-particle discrete Schrödinger operator

  1. On the Spectrum of an Hamiltonian in Fock Space. Discrete Spectrum Asymptotics

    Sergio Albeverio, S. N. Lakaev, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Statistical Physics200730 citations
    ABI

  2. Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator

    S. N. Lakaev, A. M. Khalkhuzhaev, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201221 citations
    ABI

  3. Asymptotics of eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction

    S. N. Lakaev, Shohruh Yu Holmatov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201120 citations
    ABI

  4. Finiteness of the discrete spectrum of the three-particle schrödinger equation on a lattice

    Zh. I. Abdullaev, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics199716 citations
    ABI

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

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications200616 citations
    ABI

  6. The number of eigenvalues of three-particle Schrödinger operators on lattices

    Sergio Albeverio, Gian Fausta Dell Antonio, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical200715 citations
    ABI

  7. Threshold effects in a two-fermion system on an optical lattice

    S. N. Lakaev, S. H. Abdukhakimov

    ArticleCold Atom Physics and Bose-Einstein CondensatesTheoretical and Mathematical Physics202013 citations
    ABI

  8. The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles

    Sergio Albeverio, S. N. Lakaev, Ramiza Kh. Djumanova

    ArticleSpectral Theory in Mathematical PhysicsReports on Mathematical Physics200910 citations
    ABI

  9. Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

    Yu. Kh. Èshkabilov, R.R. Kucharov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20128 citations
    ABI

  10. 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

  11. 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

  12. Embedded eigenvalues and resonances of a generalized Friedrichs model

    Zh. I. Abullaev, Isroil A. Ikromov, S. N. Lakaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics19956 citations
    ABI

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. Convergent Expansions of Eigenvalues of the Generalized Friedrichs Model with a Rank-One Perturbation

    S. N. Lakaev, Shakhzod Kurbanov, Sh. U. Alladustov

    PreprintSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20210 citations
    ABI