Twisting versus bending in quantum waveguides
classification
🧮 math-ph
cond-mat.mes-hallmath.MPmath.SP
keywords
bendingcross-sectionquantumtwistingwaveguidesdirichleteffectsexistence
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We make an overview of spectral-geometric effects of twisting and bending in quantum waveguides modelled by the Dirichlet Laplacian in an unbounded three-dimensional tube of uniform cross-section. We focus on the existence of Hardy-type inequalities in twisted tubes of non-circular cross-section.
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