Spectral Properties of a Class of Reflectionless Schrödinger Operators

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dc.creatorGesztesy, Fritz
dc.creatorYuditskii, Peter
dc.date2006-03-03
dc.date.accessioned2026-07-07T07:06:31Z
dc.date.available2026-07-07T07:06:31Z
dc.descriptionWe prove that one-dimensional reflectionless Schrödinger operators with spectrum a homogeneous set in the sense of Carleson, belonging to the class introduced by Sodin and Yuditskii, have purely absolutely continuous spectra. This class includes all earlier examples of reflectionless almost periodic Schrödinger operators. In addition, we construct examples of reflectionless Schrödinger operators with more general types of spectra, given by the complement of a Denjoy-Widom-type domain, which exhibit a singular component.
dc.description44 pages
dc.identifierhttps://arxiv.org/abs/math/0603103
dc.identifierhttp://arxiv.org/abs/math/0603103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110056
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject34B20, 34L05, 34L40
dc.titleSpectral Properties of a Class of Reflectionless Schrödinger Operators
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