Absolute continuity in periodic thin tubes and strongly coupled leaky wires

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dc.creatorBentosela, Francois
dc.creatorDuclos, Pierre
dc.creatorExner, Pavel
dc.date2003-07-14
dc.date.accessioned2026-07-07T06:33:58Z
dc.date.available2026-07-07T06:33:58Z
dc.descriptionUsing a perturbative argument, we show that in any finite region containing the lowest transverse eigenmode, the spectrum of a periodically curved smooth Dirichlet tube in two or three dimensions is absolutely continuous provided the tube is sufficiently thin. In a similar way we demonstrate absolute continuity at the bottom of the spectrum for generalized Schrödinger operators with a sufficiently strongly attractive $δ$ interaction supported by a periodic curve in $\mathbb{R}^d, d=2,3$.
dc.descriptionLaTeX 2e, 10 pages
dc.identifierhttps://arxiv.org/abs/math/0307188
dc.identifierhttp://arxiv.org/abs/math/0307188
dc.identifierLett. Math. Phys. 65 (2003), 75-82
dc.identifierdoi:10.1023/A:1027362115133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99377
dc.subjectSpectral Theory
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.subject81V99
dc.titleAbsolute continuity in periodic thin tubes and strongly coupled leaky wires
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