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Works cited by this work

27 works

Work: REDUCTION OF DIMENSION AS A CONSEQUENCE OF NORM‐RESOLVENT CONVERGENCE AND APPLICATIONS

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

    Pierre Duclos, Pavel Exner

    Review article19955 citations
    ABI

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

    DAVID KREJČIŘÍK, HELENA ŠEDIVÁKOVÁ

    Article20124 citations
    ABI

  3. $$\mathcal {PT}$$ -Symmetric Waveguides

    Denis Borisov, David Krejčiřík

    Article20084 citations
    ABI

  4. The effective Hamiltonian in curved quantum waveguides under mild regularity assumptions

    Review article20123 citations
    ABI

  5. Operator theory: Advances and applications

    Article19913 citations
    ABI

  6. Untitled

    Other3 citations
    ABI

  7. Effective Hamiltonians for Constrained Quantum Systems

    Jakob Wachsmuth, Stefan Teufel

    Preprint20092 citations
    ABI

  8. Spectral Methods in Surface Superconductivity

    Søren Fournais, Bernard Helffer

    Book20102 citations
    ABI

  9. Magnetic Effects in Curved Quantum Waveguides

    David Krejčiřík, Nicolas Raymond

    ArticleSpectral Theory in Mathematical PhysicsAnnales Henri Poincaré20132 citations
    ABI

  10. The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions

    D. I. Borisov, David Krejčiřı́k

    Article20122 citations
    ABI

  11. Untitled

    Other2 citations
    ABI

  12. The Magnetic Laplacian in Shrinking Tubular Neighborhoods of Hypersurfaces

    David Krejčiřı́k, Nicolas Raymond, Matěj Tušek

    ArticleSpectral Theory in Mathematical PhysicsJournal of Geometric Analysis20141 citations
    ABI

  13. Untitled

    Other1 citations
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    Other1 citations
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