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Works cited by this work

20 works

Work: Threshold Analysis of the Three Dimensional Lattice Schrödinger Operator with Non-Local Potential

  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. Scattering Theory: Some Old and New Problems

    Dmitri R. Yafaev

    Book200021 citations
    ABI

  5. Introduction to Quantum Graphs

    Gregory Berkolaiko, Peter Kuchment

    Book201220 citations
    ABI

  6. Analysis on Graphs and Its Applications

    Pavel Exner

    Book200811 citations
    ABI

  7. Spectral Analysis on Graph-like Spaces

    Olaf Post

    Book201210 citations
    ABI

  8. Quantum Graphs and Their Applications

    AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications <2005, Snowbird, Utah>, Gregory Berkolaiko

    Book200610 citations
    ABI

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

    Pavel Exner, Peter Kuchment, Brian Winn

    Article20109 citations
    ABI

  10. Untitled

    Other9 citations
    ABI

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

    JEAN BELLISSARD, HERMANN SCHULZ-BALDES

    Article20128 citations
    ABI

  12. Untitled

    Other8 citations
    ABI

  13. Spectral Graph Theory

    Fan Chung

    Book19967 citations
    ABI

  14. Heat Kernels on Manifolds, Graphs and Fractals

    Alexander Grigorʼyan

    Chapter20017 citations
    ABI

  15. Note on the spectrum of discrete Schrödinger operators

    Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai +1

    Preprint20125 citations
    ABI

  16. Untitled

    Other3 citations
    ABI

  17. Untitled

    Other3 citations
    ABI

  18. Basic concepts

    Dmitri R. Yafaev

    Chapter20003 citations
    ABI

  19. Introduction

    Olaf Post

    Chapter20112 citations
    ABI

  20. Untitled

    Other1 citations
    ABI