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Works citing this work

57 works

Work: Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results

  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
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  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. On the number of eigenvalues of a model operator related to a system of three particles on lattices

    Gianfausto Dell’Antonio, Zahriddin Muminov, Yo. M. Shermatova

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201122 citations
    ABI

  5. On the spectrum of the lattice spin-boson Hamiltonian for any coupling: 1D case

    M. I. Muminov, Hagen Neidhardt, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Physics201521 citations
    ABI

  6. Branches of the essential spectrum of the lattice spin-boson model with at most two photons

    Tulkin H. Rasulov

    ArticleCold Atom Physics and Bose-Einstein CondensatesTheoretical and Mathematical Physics201616 citations
    ABI

  7. 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

  8. 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

  9. 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

  10. 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

  11. О ветвях существенного спектра решетчатой модели спин-бозон с не более чем двумя фотонами

    Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsТеоретическая и математическая физика201611 citations
    ABI

  12. On Spectrum of the Discrete Bilaplacian with Zero-Range Perturbation

    Shokhrukh Yu. Kholmatov, Mardon Pardabaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202110 citations
    ABI

  13. On the structure of the essential spectrum of a model many-body Hamiltonian

    Tulkin H. Rasulov

    ArticleCold Atom Physics and Bose-Einstein CondensatesMathematical Notes200810 citations
    ABI

  14. 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

  15. Discrete eigenvalues of a 2 × 2 operator matrix

    Elyor B. Dilmurodov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20238 citations
    ABI

  16. Spectral properties of a Hamiltonian of a four-particle system on a lattice

    M. I. Muminov, U. R. Shodiev

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20107 citations
    ABI

  17. Universality of the discrete spectrum asymptotics of the three-particle Schrödinger operator on a lattice

    M. I. Muminov, Tulkin H. Rasulov

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20157 citations
    ABI

  18. 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

  19. 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

  20. Spectra of partial integral operators with a kernel of three variables

    Yusup Khalbaevich Eshkabilov

    Articleadvanced mathematical theoriesOpen Mathematics20086 citations
    ABI

  21. On the essential spectrum of a four-particle Schrödinger operator on a lattice

    M. I. Muminov, U. R. Shodiev

    ArticleSpectral Theory in Mathematical PhysicsSiberian Advances in Mathematics20116 citations
    ABI

  22. 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

  23. 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

  24. 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

  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