Inverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials

dc.creatorde Monvel, Anne Boutet
dc.creatorEgorova, Iryna
dc.creatorTeschl, Gerald
dc.date2007-07-31
dc.date2008-11-20
dc.date.accessioned2026-07-07T10:19:16Z
dc.date.available2026-07-07T10:19:16Z
dc.descriptionWe develop direct and inverse scattering theory for one-dimensional Schroedinger operators with steplike potentials which are asymptotically close to different finite-gap periodic potentials on different half-axes. We give a complete characterization of the scattering data, which allow unique solvability of the inverse scattering problem in the class of perturbations with finite second moment.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/0707.4632
dc.identifierhttp://arxiv.org/abs/0707.4632
dc.identifierJ. d'Analyse Math. 106:1, 271-316 (2008)
dc.identifierdoi:10.1007/s11854-008-0050-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174449
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject34L25, 81U40; 34B30, 34L40
dc.titleInverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials
dc.typetext

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