Stark-Wannier type operators with purely singular spectrum

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dc.creatorPerelman, Galina
dc.date2004-06-11
dc.date.accessioned2026-07-07T04:31:15Z
dc.date.available2026-07-07T04:31:15Z
dc.descriptionWe consider the one-dimensional Stark-Wannier type operators with potentials given by a smooth function with a logarithmic growth at infinity plus a periodic function with the Fourier coefficients of the form $(\ln |n|)^{-b}, 0<b<1/2$. We prove that in the case of rational electric field the spectrum of the corresponding operator is purely singular continuous.
dc.description42 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0406020
dc.identifierhttp://arxiv.org/abs/math-ph/0406020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57744
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.titleStark-Wannier type operators with purely singular spectrum
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