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arxiv: 1407.4028 · v1 · pith:QRYFTBWVnew · submitted 2014-07-15 · 🧮 math.SP · math-ph· math.MP

Waveguides with asymptotically diverging twisting

classification 🧮 math.SP math-phmath.MP
keywords asymptoticallydivergingtwistingangleassociatedclassconsideringconstruction
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We provide a class of unbounded three-dimensional domains of infinite volume for which the spectrum of the associated Dirichlet Laplacian is purely discrete. The construction is based on considering tubes with asymptotically diverging twisting angle.

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