A lower bound to the spectral threshold in curved tubes

DOI10.1098/rspa.2004.1356zbMath1330.35360arXivmath-ph/0405039OpenAlexW2097554753MaRDI QIDQ3024620

Pavel Exner, Pedro Freitas, David Krejčiřík

Publication date: 1 July 2005

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0405039

zbMATH Keywords

Laplacianquantum waveguideseigenvalues in tubes and tori

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

Sharp Poincaré inequalities in a class of non-convex sets, Spectrum of the Schrödinger operator in a perturbed periodically twisted tube, A Hardy inequality in twisted waveguides, Waveguides with combined Dirichlet and Robin boundary conditions, Schrödinger operator with a strong varying interaction on a curve in $\mathbb {R}^2$R2, Geometrically induced discrete spectrum in curved tubes, Planar waveguide with “twisted” boundary conditions: Discrete spectrum, On the spectrum of curved planar waveguides