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Works cited by this work

37 works

Work: Discrete Schrödinger equation on graphs: An effective model for branched quantum lattice

  1. Transparent quantum graphs

    Jambul Yusupov, K.K. Sabirov, Matthias Ehrhardt +1

    ArticleSpectral Theory in Mathematical PhysicsPhysics Letters A201920 citations
    ABI

  2. Solitons in conducting polymers

    Alan J. Heeger, Steven A. Kivelson, J. R. Schrieffer +1

    Article198816 citations
    ABI

  3. Experimental simulation of quantum graphs by microwave networks

    Oleh Hul, Szymon Bauch, Prot Pakónski +3

    Article200414 citations
    ABI

  4. Quantum interference on graphs controlled by an external electric field

    Pavel Exner, P. Šeba, P. Šťovı́ček

    Article198813 citations
    ABI

  5. Exciton dynamics in branched conducting polymers: Quantum graphs based approach

    Jambul Yusupov, Kh. Sh. Matyokubov, K.K. Sabirov +1

    ArticleQuantum optics and atomic interactionsChemical Physics202013 citations
    ABI

  6. The Diamagnetic Anisotropy of Aromatic Molecules

    Linus Pauling

    Article193611 citations
    ABI

  7. Bogoliubov de Gennes equation on metric graphs

    K.K. Sabirov, Doniyor Jumanazarov, Jambul Yusupov +1

    ArticleTopological Materials and PhenomenaPhysics Letters A201811 citations
    ABI

  8. Free-Electron Network Model for Conjugated Systems. I. Theory

    Klaus Ruedenberg, Charles W. Scherr

    Article195310 citations
    ABI

  9. PT-symmetric quantum graphs

    D. U. Matrasulov, K K Sabirov, Jambul Yusupov

    ArticleQuantum Mechanics and Non-Hermitian PhysicsJournal of Physics A Mathematical and Theoretical201910 citations
    ABI

  10. Untitled

    Other9 citations
    ABI

  11. Untitled

    Other9 citations
    ABI

  12. Superconductivity of networks. A percolation approach to the effects of disorder

    S. Alexander

    Article19837 citations
    ABI

  13. Nobel Lecture: Semiconducting and metallic polymers: The fourth generation of polymeric materials

    Alan J. Heeger

    Article20016 citations
    ABI

  14. Synthesis of highly branched conducting polymer architecture for electrochromic applications

    Tuğba Soğancı, Ogün Gümüşay, H. Can Söyleyici +1

    Article20176 citations
    ABI

  15. Fokker–Planck equation on metric graphs

    Jasur Matrasulov, K.K. Sabirov

    ArticleTheoretical and Computational PhysicsPhysica A Statistical Mechanics and its Applications20226 citations
    ABI

  16. Dynamics of polarons in branched conducting polymers

    K.K. Sabirov, Jambul Yusupov, Kh. Sh. Matyokubov

    ArticleConducting polymers and applicationsNanosystems Physics Chemistry Mathematics20205 citations
    ABI

  17. Effective numerical method of spectral analysis of quantum graphs

    V. Barrera-Figueroa, Vladimir Rabinovich

    Article20174 citations
    ABI

  18. Charge storage and charge transport in conducting polymers: solitons, polarons and bipolarons

    A. J. Heeger

    Article19853 citations
    ABI

  19. Classical Simulation of Relativistic<i>Zitterbewegung</i>in Photonic Lattices

    Felix Dreisow, Matthias Heinrich, Robert Keil +4

    Article20102 citations
    ABI

  20. Nodal Statistics on Quantum Graphs

    Lior Alon, Ram Band, Gregory Berkolaiko

    Article20182 citations
    ABI

  21. Invariants for Laplacians on periodic graphs

    Evgeny Korotyaev, Natalia Saburova

    Article20192 citations
    ABI

  22. Untitled

    Other2 citations
    ABI

  23. Topological bulk-edge effects in quantum graph transport

    Pavel Exner, Jiř̌í Lipovský

    Article20202 citations
    ABI

  24. Untitled

    Other2 citations
    ABI

  25. Recent progress on coherent computation based on quantum squeezing

    Bo Lü, Lu Liu, Jun-Yang Song +2

    Article20232 citations
    ABI