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Works cited by this work

50 works

Work: Transparent quantum graphs

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

    Sven Gnutzmann∥, Uzy Smilansky

    Article200639 citations
    ABI

  2. Introduction to Quantum Graphs

    Gregory Berkolaiko, Peter Kuchment

    Book201220 citations
    ABI

  3. Kirchhoff's rule for quantum wires

    V. Kostrykin, R. Schrader

    Article199817 citations
    ABI

  4. Kirchhoff's rule for quantum wires

    V Kostrykin, R Schrader

    Article199915 citations
    ABI

  5. Experimental simulation of quantum graphs by microwave networks

    Oleh Hul, Szymon Bauch, Prot Pakónski +3

    Article200414 citations
    ABI

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

    Pavel Exner, P. Šeba, P. Šťovı́ček

    Article198813 citations
    ABI

  7. Quantum graphs: I. Some basic structures

    Peter Kuchment

    Article200413 citations
    ABI

  8. Charged solitons in branched conducting polymers

    D. Babajanov, H. Matyokubov, D. Matrasulov

    ArticleOrganic Electronics and PhotovoltaicsThe Journal of Chemical Physics201813 citations
    ABI

  9. Untitled

    Other13 citations
    ABI

  10. The Diamagnetic Anisotropy of Aromatic Molecules

    Linus Pauling

    Article193611 citations
    ABI

  11. Bogoliubov de Gennes equation on metric graphs

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

    ArticleTopological Materials and PhenomenaPhysics Letters A201811 citations
    ABI

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

    Klaus Ruedenberg, Charles W. Scherr

    Article195310 citations
    ABI

  13. 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

  14. 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

  15. Untitled

    Other9 citations
    ABI

  16. Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations in Underwater Acoustics

    Anton Arnold, Matthias Ehrhardt

    Article19988 citations
    ABI

  17. Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities

    Pauline Klein, Xavier Antoine, Christophe Besse +1

    Article20118 citations
    ABI

  18. Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability

    Anton Arnold, Matthias Ehrhardt, Ivan Sofronov

    Article20038 citations
    ABI

  19. Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential

    Xavier Antoine, Christophe Besse, Pauline Klein

    Article20088 citations
    ABI

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

    S. Alexander

    Article19837 citations
    ABI

  21. Discrete Transparent Boundary Conditions for GeneralSchrödinger‐type Equations

    Matthias Ehrhardt

    Article19987 citations
    ABI

  22. Topological Resonances in Scattering on Networks (Graphs)

    Sven Gnutzmann∥, Holger Schanz, Uzy Smilansky

    Article20137 citations
    ABI

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

    Jens Bolte, Jonathan Harrison

    Article20037 citations
    ABI

  24. Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension

    Shidong Jiang, Leslie Greengard

    Article20047 citations
    ABI

  25. Semigroup Methods for Evolution Equations on Networks

    Delio Mugnolo

    Book20146 citations
    ABI