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Works cited by this work

45 works

Work: The Magnetic Laplacian in Shrinking Tubular Neighborhoods of Hypersurfaces

  1. Methods of Modern Mathematical Physics

    Book197291 citations
    ABI

  2. Perturbation Theory for Linear Operators

    Tosio Kato

    Book199528 citations
    ABI

  3. Perturbation theory for linear operators

    Tosio Kato

    Book196610 citations
    ABI

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

    Pierre Duclos, Pavel Exner

    Review article19955 citations
    ABI

  5. Stability of the Magnetic Schrödinger Operator in a Waveguide

    Tomas Ekholm, Hynek Kovařík

    Article20054 citations
    ABI

  6. On the Spectrum of Curved Planar Waveguides

    David Krejčiřı́k, Jan Křı́ž

    Article20054 citations
    ABI

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

    DAVID KREJČIŘÍK, HELENA ŠEDIVÁKOVÁ

    Article20124 citations
    ABI

  8. On the spectrum of curved quantum waveguides

    David Krejčiřı́k, Jan Křı́ž

    Preprint20033 citations
    ABI

  9. Bound states in curved quantum waveguides

    Pavel Exner, P. Šeba

    Article19893 citations
    ABI

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

    Review article20123 citations
    ABI

  11. Mathematical Physics of Quantum Wires and Devices

    Norman E. Hurt

    Book20002 citations
    ABI

  12. A Comprehensive Introduction to Differential Geometry.

    Arthur D. Kramer, Michael Spivak

    Article19732 citations
    ABI

  13. Geometry, Topology and Physics

    Mikio Nakahara

    Book20182 citations
    ABI

  14. Effective Hamiltonians for Constrained Quantum Systems

    Jakob Wachsmuth, Stefan Teufel

    Preprint20092 citations
    ABI

  15. On the discrete spectrum of quantum layers

    Zhiqin Lu, Julie Rowlett

    Article20122 citations
    ABI

  16. Topologically nontrivial quantum layers

    Gilles Carron, Pavel Exner, David Krejčiřı́k

    Article20042 citations
    ABI

  17. Bound States in Curved Quantum Layers

    P. Duclos, P. Exner, D. Krejčiřík

    Article20012 citations
    ABI

  18. Quantum layers over surfaces ruled outside a compact set

    Christopher Lin, Zhiqin Lu

    Article20072 citations
    ABI

  19. On the Discrete Spectrum of Generalized Quantum Tubes

    Christopher Lin, Zhiqin Lu

    Article20062 citations
    ABI

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

    Leonid Friedlander, Michael Solomyak

    Article20092 citations
    ABI

  21. Location of the nodal set for thin curved tubes

    Pedro Freitas, D. Krejcirik

    Article20082 citations
    ABI

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

    Jonas Lampart, Stefan Teufel, Jakob Wachsmuth

    Preprint20112 citations
    ABI

  23. 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

  24. Untitled

    Other1 citations
    ABI

  25. Untitled

    Other1 citations
    ABI