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Works citing this work

51 works

Work: Energy-momentum spectrum of some two-particle lattice 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. On the number of eigenvalues of a model operator associated to a system of three-particles on lattices

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsRussian Journal of Mathematical Physics200722 citations
    ABI

  4. Threshold of discrete Schrödinger operators with delta potentials on <i>n</i>-dimensional lattice

    Fumio Hiroshima, Zahriddin Muminov, Utkir Kuljanov

    ArticleSpectral Theory in Mathematical PhysicsLinear and Multilinear Algebra202021 citations
    ABI

  5. Threshold Analysis of the Three Dimensional Lattice Schrödinger Operator with Non-Local Potential

    Z. E. Muminov, Sh. U. Alladustov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202021 citations
    ABI

  6. Spectral and threshold analysis of a small rank perturbation of the discrete Laplacian

    Zahriddin Muminov, Shukhrat Alladustov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications202019 citations
    ABI

  7. 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

  8. 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

  9. Conditions for the Existence of Eigenvalues of a Three-Particle Lattice Model Hamiltonian

    Bekzod I. Bahronov, Tulkin H. Rasulov, Mubashar Rehman

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics202314 citations
    ABI

  10. Positivity of the two-particle Hamiltonian on a lattice

    M. I. Muminov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200713 citations
    ABI

  11. 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

  12. 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

  13. The Number and Location of Eigenvalues of the Two Particle Discrete Schrödinger Operators

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

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202212 citations
    ABI

  14. Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions

    S. N. Lakaev, А. К. Мотовилов, Saidakbar Kh. Abdukhakimov

    ArticleCold Atom Physics and Bose-Einstein CondensatesJournal of Physics A Mathematical and Theoretical202311 citations
    ABI

  15. On the Number and Location of Eigenvalues of the Two Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, Sh. I. Khamidov

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics202210 citations
    ABI

  16. Spectral properties of a two-particle Hamiltonian on a lattice

    M. I. Muminov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201310 citations
    ABI

  17. 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

  18. Perturbation Theory for the Two-Particle Schrodinger Operator on a One-Dimensional Lattice

    J. I. Abdullaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200510 citations
    ABI

  19. Finiteness of the number of eigenvalues of the two-particle Schrödinger operator on a lattice

    J. I. Abdullaev, Isroil A. Ikromov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20079 citations
    ABI

  20. On The Discrete Spectra of Schrödinger-Type Operators on one Dimensional Lattices

    S. N. Lakaev, A. T. Boltaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20229 citations
    ABI

  21. 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

  22. Multiplicity of virtual levels at the lower edge of the continuous spectrum of a two-particle Hamiltonian on a lattice

    M. I. Muminov, A. M. Khurramov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20147 citations
    ABI

  23. 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

  24. On spectrum and threshold analysis for discrete Schrödinger operator

    Zahriddin Muminov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20216 citations
    ABI

  25. 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