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• W2016630506 abstract "We consider the Dirichlet Laplacian in tubular neighbourhoods of complete non-compact Riemannian manifolds immersed in the Euclidean space. We show that the essential spectrum coincides with the spectrum of a planar tube provided that the second fundamental form of the manifold vanishes at infinity and the transport of the cross-section along the manifold is asymptotically parallel. For low dimensions and codimension, the result applies to the location of propagating states in nanostructures under physically natural conditions." @default.
• W2016630506 created "2016-06-24" @default.
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• W2016630506 date "2014-08-01" @default.
• W2016630506 modified "2023-10-10" @default.
• W2016630506 title "Location of the essential spectrum in curved quantum layers" @default.
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• W2016630506 doi "https://doi.org/10.1063/1.4893035" @default.
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