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Works cited by this work

38 works

Work: Spectral and threshold analysis of a small rank perturbation of the discrete Laplacian

  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. Energy-momentum spectrum of some two-particle lattice Schrödinger Hamiltonians

    Paulo A. Faria da Veiga, L. Ioriatti, Michael O’Carroll

    Article200251 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. Merging of eigenvalues and resonances of a two-particle Schrödinger operator

    S. N. Lakaev, Sh. M. Tilavova

    Article199411 citations
    ABI

  9. Spectral Analysis on Graph-like Spaces

    Olaf Post

    Book201210 citations
    ABI

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

    Pavel Exner, Peter Kuchment, Brian Winn

    Article20109 citations
    ABI

  11. Untitled

    Other9 citations
    ABI

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

    JEAN BELLISSARD, HERMANN SCHULZ-BALDES

    Article20128 citations
    ABI

  13. Untitled

    Other8 citations
    ABI

  14. Variational Estimates for Discrete Schr�dinger Operators with Potentials of Indefinite Sign

    David Damanik, Dirk Hundertmark, Rowan Killip +1

    Article20037 citations
    ABI

  15. Spectral Graph Theory

    Fan Chung

    Book19967 citations
    ABI

  16. Heat Kernels on Manifolds, Graphs and Fractals

    Alexander Grigorʼyan

    Chapter20017 citations
    ABI

  17. On the spectral estimates for the Schrödinger operator on ℤ d , d ≽ 3

    Grigori Rozenblum, Michael Solomyak

    Article20095 citations
    ABI

  18. Untitled

    Other4 citations
    ABI

  19. Untitled

    Other3 citations
    ABI

  20. Schrödinger operators on periodic discrete graphs

    Evgeny Korotyaev, Natalia Saburova

    Preprint20143 citations
    ABI

  21. On negative eigenvalues of the discrete Schrödinger operator with non-local potential

    Zahriddin Muminov, Sh. S. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsBulletin of National University of Uzbekistan Mathematics and Natural Sciences20202 citations
    ABI

  22. Untitled

    Other2 citations
    ABI

  23. Untitled

    Other2 citations
    ABI

  24. Untitled

    Other2 citations
    ABI

  25. Untitled

    Other2 citations
    ABI