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Works citing this work

18 works

Work: Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians

  1. The Threshold Effects for the Two-Particle Hamiltonians on Lattices

    Sergio Albeverio, S. N. Lakaev, Konstantin A. Makarov +1

    ArticleSpectral Theory in Mathematical PhysicsCommunications in Mathematical Physics200576 citations
    ABI

  2. 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

  3. 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

  4. Bound states of a system of two fermions on a one-dimensional lattice

    J. I. Abdullaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200613 citations
    ABI

  5. Invariant Subspaces of the Shrödinger Operator with a Finite Support Potential

    J. I. Abdullaev, A. M. Toshturdiev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202210 citations
    ABI

  6. Bound states of a two-boson system on a two-dimensional lattice

    Zh. I. Abdullaev, Komil Kuliev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20168 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. 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

  9. Связанные состояния системы двух бозонов на двумерной решетке

    Жаникул Ибрагимович Абдуллаев, Komil Kuliev

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика20161 citations
    ABI

  10. Bound States of a System of Two Fermions on Invariant Subspace

    J. I. Abdullaev, A. M. Toshturdiev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Modern Physics20211 citations
    ABI

  11. Bound states of a system of two bosons with a spherically potential on a lattice

    J. I. Abdullaev, Sh. H. Ergashova, Yu. S. Shotemirov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics Conference Series20211 citations
    ABI

  12. The Discrete Spectrum of the Generalized Friedrichs Model with a Rank-Two Perturbation

    Sh. Kh. Kurbanov, S. S. Abduvayitov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20251 citations
    ABI

  13. 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

  14. On the spectrum of an Hamiltonian in Fock space. Discrete spectrum Asymptotics

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

    Preprintadvanced mathematical theoriesArXiv.org20050 citations
    ABI

  15. 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

  16. 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

  17. 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

  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