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Works cited by this work

21 works

Work: On the Discrete Spectrum of a One-Dimensional Discrete Schrödinger Operator with a Perturbation of Rank One

  1. Schrödinger Operators on Lattices.The Efimov Effect and Discrete Spectrum Asymptotics

    Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov

    ArticleSpectral Theory in Mathematical PhysicsAnnales Henri Poincaré200482 citations
    ABI

  2. 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

  3. The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice

    S. N. Lakaev, I. N. Bozorov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200932 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. Scattering Theory: Some Old and New Problems

    Dmitri R. Yafaev

    Book200021 citations
    ABI

  7. Introduction to Quantum Graphs

    Gregory Berkolaiko, Peter Kuchment

    Book201220 citations
    ABI

  8. 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

  9. On the Spectrum of the Two-particle Shrödinger Operator with Point Interaction

    Zahriddin Muminov, Уткир Кулжанов, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202118 citations
    ABI

  10. Analysis on Graphs and Its Applications

    Pavel Exner

    Book200811 citations
    ABI

  11. Spectral Analysis on Graph-like Spaces

    Olaf Post

    Book201210 citations
    ABI

  12. Quantum Graphs and Their Applications

    AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications &lt;2005, Snowbird, Utah&gt;, Gregory Berkolaiko

    Book200610 citations
    ABI

  13. Untitled

    Other9 citations
    ABI

  14. On the location of spectral edges in \mathbb {Z}-periodic media

    Pavel Exner, Peter Kuchment, Brian Winn

    Article20109 citations
    ABI

  15. Untitled

    Other9 citations
    ABI

  16. SCATTERING THEORY FOR LATTICE OPERATORS IN DIMENSION d ≥ 3

    JEAN BELLISSARD, HERMANN SCHULZ-BALDES

    Article20128 citations
    ABI

  17. Untitled

    Other8 citations
    ABI

  18. Spectral Graph Theory

    Fan Chung

    Book19967 citations
    ABI

  19. Heat Kernels on Manifolds, Graphs and Fractals

    Alexander Grigorʼyan

    Chapter20017 citations
    ABI

  20. Note on the spectrum of discrete Schrödinger operators

    Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai +1

    Preprint20125 citations
    ABI

  21. Excitation spectrum and staggering transformations in lattice quantum models

    Paulo A. Faria da Veiga, Michael O’Carroll, Ricardo S. Schor

    Article20023 citations
    ABI