Quantum waveguides with corners

DOI10.1051/proc/201235002zbMath1357.81100arXiv1112.4263OpenAlexW2112068171MaRDI QIDQ2880177

Yvon Lafranche, Monique Dauge, Nicolas Raymond

Publication date: 12 April 2012

Published in: ESAIM: Proceedings (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4263

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special quantum systems, such as solvable systems (81Q80) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (10)

On the bound states of Schrödinger operators with δ-interactions on conical surfaces ⋮ Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer ⋮ Existence of discrete eigenvalues for the Dirichlet Laplacian in a two-dimensional twisted strip ⋮ Eigenvalue inequalities and absence of threshold resonances for waveguide junctions ⋮ Dirichlet spectrum of the Fichera layer ⋮ Dirichlet eigenvalues of cones in the small aperture limit ⋮ Spectral transitions for Aharonov-Bohm Laplacians on conical layers ⋮ Spectral asymptotics of the Dirichlet Laplacian in a conical layer ⋮ Criteria for the absence and existence of bounded solutions at the threshold frequency in a junction of quantum waveguides ⋮ Plane waveguides with corners in the small angle limit

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