David Krejcirik's page:

Works citing   [J. Phys. A 37 (2004), pp. 5449-5466]

  1. O. Olendski and L. Mikhailovska:
    Curved quantum waveguides in uniform magnetic fields,
    Phys. Rev. B 72, 23, (Dec 2005), art. no. 235314.

  2. E. R. Johnson, M. Levitin and L. Parnovski:
    Existence of eigenvalues of a linear operator pencil in a curved waveguide - Localized shelf waves on a curved coast,
    SIAM J. Math. Anal. 37 (2006), no. 5, 1465-1481.

  3. M. Melgaard:
    Strong asymptotic completeness for quantum wires,
    Proceedings of the International Conference Days on Diffraction 2006, 178-186.

  4. M. Melgaard:
    Confinement effects on scattering for a nanoparticle,
    Acta Physica Polonica B 38 (Jan 2007), no. 1, 197-214.

  5. M. Melgaard:
    Confinement effects on scattering for a nanoparticle,
    Aplimat 2007 - 6th International Conference (2007), 225-233.

  6. M. Melgaard:
    Scattering properties for a pair of Schrodinger type operators on cylindrical domains,
    Cent. Eur. J. Math. 5 (Mar 2007), no. 1, 134-153.

  7. C. Lin and Z. Lu:
    Existence of bound states for layers built over hypersurfaces in $R^{n+1}$,
    J. Funct. Anal. 244 (2007), 1-25.

  8. A. B. Mikhailova, B. S. Pavlov and L. V. Prokhorov:
    Intermediate Hamiltonian via Glazman's splitting and analytic perturbation for meromorphic matrix-functions,
    Math. Nachr. 280 (2007), 1376-1416.

  9. M. Melgaard:
    Quantum collisions in semi-constrained structures,
    Mod. Phys. Lett. B 21 (2007), no. 13, 767-779.

  10. M. Melgaard:
    Scattering properties for a pair of Schrodinger type operators on cylindrical domains,
    Central European Journal of Mathematics 5 (2007), no. 1, 134-153.

  11. S. Golenia and S. Moroianu:
    Spectral analysis of magnetic Laplacians on conformally cusp manifolds,
    Ann. H. Poincare 9 (2008), no. 1, 131-179.

  12. E. S. Trifanova:
    Resonance phenomena in curved quantum waveguides coupled via windows,
    Tech. Phys. Lett. 35 (2009), 180-182.

  13. Ph. Briet:
    Spectral Analysis for Twisted Waveguides,
    Edited by: Rebolledo, R; Orszag, M Conference: 30th Conference on Quantum Probability and Related Topics Location: Santiago, CHILE Date: NOV 23-28, 2009; Book Series: QP-PQ Quantum Probability and White Noise Analysis 27 (2011), 125-130.

  14. V. S. Rabinovich, R. Castillo-Perez, F. Urbano-Altamirano:
    On the essential spectrum of quantum waveguides,
    Math. Methods Appl. Sci. 36 (2013), 761-772.

  15. Ph. Briet, H. Kovarik, G. Raikov:
    Scattering in twisted waveguides,
    J. Funct. Anal. 266 (2014), 1-35.

  16. P. Exner and S. Kondej:
    Strong Coupling Asymptotics for Schrödinger Operators with an Interaction Supported by an Open Arc in three Dimensions,
    Rep. Math. Phys. 77 (2016), 1-17.

  17. J. Royer:
    Mourre's commutators method for a dissipative form perturbation,
    J. Operator Theory 76 (2016), 351-385.

  18. A. A. Verri:
    Dirichlet Laplacian in a thin twisted strip,
    Int. J. Math. 30 (2019) 1950006.

See also

  1. M. Melgaard:
    Optimal limiting absorption principle for a Schrodinger type operator on a Lipschitz cylinder,
    Manuscr. Math. 18 (2005), 253-270.

    MathSciNet's reviews: [previous versions removed upon request of the editors, 12 March 2020], current.
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Last modified: 12 March 2020