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Works cited by this work

68 works

Work: Dirac particles on periodic quantum graphs

  1. Quantum graphs: Applications to quantum chaos and universal spectral statistics

    Sven Gnutzmann∥, Uzy Smilansky

    Article200639 citations
    ABI

  2. Periodic Orbit Theory and Spectral Statistics for Quantum Graphs

    Tsampikos Kottos, Uzy Smilansky

    Article199932 citations
    ABI

  3. Transparent quantum graphs

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

    ArticleSpectral Theory in Mathematical PhysicsPhysics Letters A201920 citations
    ABI

  4. Introduction to Quantum Graphs

    Gregory Berkolaiko, Peter Kuchment

    Book201220 citations
    ABI

  5. Untitled

    Other19 citations
    ABI

  6. Kirchhoff's rule for quantum wires

    V. Kostrykin, R. Schrader

    Article199817 citations
    ABI

  7. Solitons in conducting polymers

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

    Article198816 citations
    ABI

  8. Eigenfunction statistics on quantum graphs

    S. Gnutzmann, J.P. Keating, F. Piotet

    Article201016 citations
    ABI

  9. Kirchhoff's rule for quantum wires

    V Kostrykin, R Schrader

    Article199915 citations
    ABI

  10. Sine-Gordon solitons in networks: Scattering and transmission at vertices

    Zarif Sobirov, Doniyor Babajanov, Davron Matrasulov +2

    Article201615 citations
    ABI

  11. Experimental simulation of quantum graphs by microwave networks

    Oleh Hul, Szymon Bauch, Prot Pakónski +3

    Article200414 citations
    ABI

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

    Pavel Exner, P. Šeba, P. Šťovı́ček

    Article198813 citations
    ABI

  13. 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

  14. Quantum graphs: I. Some basic structures

    Peter Kuchment

    Article200413 citations
    ABI

  15. Untitled

    Other13 citations
    ABI

  16. Charged solitons in branched conducting polymers

    D. Babajanov, H. Matyokubov, D. Matrasulov

    ArticleOrganic Electronics and PhotovoltaicsThe Journal of Chemical Physics201813 citations
    ABI

  17. Untitled

    Other13 citations
    ABI

  18. The stationary sine-Gordon equation on metric graphs: Exact analytical solutions for simple topologies

    K.K. Sabirov, S. Rakhmanov, D. U. Matrasulov +1

    ArticlePhysics of Superconductivity and MagnetismPhysics Letters A201813 citations
    ABI

  19. Spectral stability of shifted states on star graphs

    Adilbek Kairzhan, Dmitry E. Pelinovsky

    Article201812 citations
    ABI

  20. Branched Josephson junctions: Current carrying solitons in external magnetic fields

    D. U. Matrasulov, K.K. Sabirov, D. Babajanov +1

    ArticleNonlinear Photonic SystemsEurophysics Letters (EPL)202012 citations
    ABI

  21. The Diamagnetic Anisotropy of Aromatic Molecules

    Linus Pauling

    Article193611 citations
    ABI

  22. Bogoliubov de Gennes equation on metric graphs

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

    ArticleTopological Materials and PhenomenaPhysics Letters A201811 citations
    ABI

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

    Klaus Ruedenberg, Charles W. Scherr

    Article195310 citations
    ABI

  24. 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

  25. Untitled

    Other10 citations
    ABI