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Works cited by this work

35 works

Work: Particle transport in a network of quantum harmonic oscillators

  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. Transparent nonlinear networks

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

    ArticleNonlinear Photonic SystemsPhysical review. E201916 citations
    ABI

  8. Experimental simulation of quantum graphs by microwave networks

    Oleh Hul, Szymon Bauch, Prot Pakónski +3

    Article200414 citations
    ABI

  9. The Diamagnetic Anisotropy of Aromatic Molecules

    Linus Pauling

    Article193611 citations
    ABI

  10. Bogoliubov de Gennes equation on metric graphs

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

    ArticleTopological Materials and PhenomenaPhysics Letters A201811 citations
    ABI

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

    Klaus Ruedenberg, Charles W. Scherr

    Article195310 citations
    ABI

  12. 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

  13. Untitled

    Other9 citations
    ABI

  14. Free quantum motion on a branching graph

    Pavel Exner, P. Šeba

    Article19898 citations
    ABI

  15. Semigroup Methods for Evolution Equations on Networks

    Delio Mugnolo

    Book20146 citations
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  16. Transparent vertex boundary conditions for quantum graphs: Simplified approach

    Мерсаид Арипов, K.K. Sabirov, Jambul Yusupov

    ArticleQuantum and electron transport phenomenaNanosystems Physics Chemistry Mathematics20196 citations
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  17. Eigenvalue Estimates for the Weighted Laplacian on Metric Trees

    K. Naimark, Michael Solomyak

    Article20004 citations
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  18. On reflectionless equi-transmitting matrices

    Pavel Kurasov, Rao Ogik, Amar Rauf

    Article20144 citations
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  19. Directed transport in quantum star graphs

    Jambul Yusupov, Maxim Dolgushev, A. Blumen +1

    ArticleCold Atom Physics and Bose-Einstein CondensatesQuantum Information Processing20164 citations
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  20. Quantum graphs where back-scattering is prohibited

    J. M. Harrison, U. Smilansky, B. Winn

    Article20074 citations
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  21. Quantum graphs and the integer quantum Hall effect

    Nathan Goldman, Pierre Gaspard

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  22. The spin contribution to the form factor of quantum graphs

    Jens Bolte, Jonathan Harrison

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  23. Electronic interactions and excitons in conducting polymers

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  24. Conjugated polymers at the verge of strongly correlated systems and 1D semiconductors

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  25. Theory of electronic states and excitations in PPV

    S. Brazovskiǐ, N. Kirova, A. R. Bishop

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