On the discrete spectrum of quantum layers

DOI10.1063/1.4736412zbMath1278.82081arXiv1110.6807OpenAlexW3100378712MaRDI QIDQ2865548

Zhiqin Lu, Julie Rowlett

Publication date: 29 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6807

zbMATH Keywords

Hamiltoniandiscrete spectrumGauss curvatureDirichlet Laplacianquantum particlequantum layer

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (8)

Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension ⋮ Asymptotic spectral analysis in colliding leaky quantum layers ⋮ Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer ⋮ Magnetic effects in curved quantum waveguides ⋮ Discrete spectrum of Schrödinger operators with potentials concentrated near conical surfaces ⋮ Ruled strips with asymptotically diverging twisting ⋮ Dirac operator spectrum in tubes and layers with a zigzag-type boundary ⋮ The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces

Cites Work

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• On Hypersurfaces with no Negative Sectional Curvatures
• Bound states in curved quantum layers

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