Ruled strips with asymptotically diverging twisting

David Krejcirik; Rafael Tiedra de Aldecoa

doi:10.1007/s00023-018-0684-4

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arXiv · 1802.00321

Ruled strips with asymptotically diverging twisting

David Krejcirik·Rafael Tiedra de Aldecoa

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Abstract

We consider the Dirichlet Laplacian in a two-dimensional strip composed of segments translated along a straight line with respect to a rotation angle with velocity diverging at infinity. We show that this model exhibits a "raise of dimension" at infinity leading to an essential spectrum determined by an asymptotic three-dimensional tube of annular cross-section. If the cross-section of the asymptotic tube is a disk, we also prove the existence of discrete eigenvalues below the essential spectrum.

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BibTeX RIS

David Krejcirik, Rafael Tiedra de Aldecoa. 2018-02-01. Ruled strips with asymptotically diverging twisting. https://doi.org/10.1007/s00023-018-0684-4

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