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Works cited by this work

26 works

Work: Magnetic Effects in Curved Quantum Waveguides

  1. CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS

    Pierre Duclos, Pavel Exner

    Review article19955 citations
    ABI

  2. Schrödinger Operators

    Hans L. Cycon, Hans L. Cycon, Richard Froese +3

    Book19875 citations
    ABI

  3. Stability of the Magnetic Schrödinger Operator in a Waveguide

    Tomas Ekholm, Hynek Kovařík

    Article20054 citations
    ABI

  4. On the Spectrum of Curved Planar Waveguides

    David Krejčiřı́k, Jan Křı́ž

    Article20054 citations
    ABI

  5. THE EFFECTIVE HAMILTONIAN IN CURVED QUANTUM WAVEGUIDES UNDER MILD REGULARITY ASSUMPTIONS

    DAVID KREJČIŘÍK, HELENA ŠEDIVÁKOVÁ

    Article20124 citations
    ABI

  6. A Hardy Inequality in Twisted Waveguides

    Tobias Ekholm, Hynek Kovařík, David Krejčiřı́k

    ArticleSpectral Theory in Mathematical PhysicsArchive for Rational Mechanics and Analysis20083 citations
    ABI

  7. Geometrically induced discrete spectrum in curved tubes

    B. Chenaud, Pierre Duclos, Pedro Freitas +1

    Article20053 citations
    ABI

  8. On the curvature and torsion effects in one dimensional waveguides

    Guy Bouchitté, M. L. Mascarenhas, L. Trabucho

    Article20073 citations
    ABI

  9. The Hardy inequality and the heat equation in twisted tubes

    David Krejčiřı́k, Enrique Zuazua

    Article20103 citations
    ABI

  10. On the discrete spectrum of quantum layers

    Zhiqin Lu, Julie Rowlett

    Article20122 citations
    ABI

  11. Topologically nontrivial quantum layers

    Gilles Carron, Pavel Exner, David Krejčiřı́k

    Article20042 citations
    ABI

  12. Bound States in Curved Quantum Layers

    P. Duclos, P. Exner, D. Krejčiřík

    Article20012 citations
    ABI

  13. Quantum layers over surfaces ruled outside a compact set

    Christopher Lin, Zhiqin Lu

    Article20072 citations
    ABI

  14. On the Discrete Spectrum of Generalized Quantum Tubes

    Christopher Lin, Zhiqin Lu

    Article20062 citations
    ABI

  15. On the spectrum of the Dirichlet Laplacian in a narrow strip

    Leonid Friedlander, Michael Solomyak

    Article20092 citations
    ABI

  16. Location of the nodal set for thin curved tubes

    Pedro Freitas, D. Krejcirik

    Article20082 citations
    ABI

  17. EFFECTIVE HAMILTONIANS FOR THIN DIRICHLET TUBES WITH VARYING CROSS-SECTION

    Jonas Lampart, Stefan Teufel, Jakob Wachsmuth

    Preprint20112 citations
    ABI

  18. Existence of bound states for layers built over hypersurfaces in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>

    Christopher Lin, Zhiqin Lu

    Article20072 citations
    ABI

  19. Spectral Methods in Surface Superconductivity

    Søren Fournais, Bernard Helffer

    Book20102 citations
    ABI

  20. Traveling wave solutions for the extended Fisher/KPP equation

    M.B.A. Mansour

    Article20102 citations
    ABI

  21. Twisting versus bending in quantum waveguides

    David Krejčiřı́k

    Other20082 citations
    ABI

  22. Untitled

    Other1 citations
    ABI

  23. Untitled

    Other1 citations
    ABI

  24. Untitled

    Other1 citations
    ABI

  25. Untitled

    Other1 citations
    ABI