Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials

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dc.creatorChrist, M.
dc.creatorKiselev, A.
dc.date2001-10-13
dc.date.accessioned2026-07-07T04:43:48Z
dc.date.available2026-07-07T04:43:48Z
dc.descriptionWe prove existence of modified wave operators for one-dimensional Schrödinger equations with potential in $L^p(\reals)$, $p<2$. If in addition the potential is conditionally integrable, then the usual Möller wave operators exist. We also prove asymptotic completeness of these wave operators for some classes of random potentials, and for almost every boundary condition for any given potential.
dc.description46 pages
dc.identifierhttps://arxiv.org/abs/math/0110140
dc.identifierhttp://arxiv.org/abs/math/0110140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62384
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject34L40; 35P25; 42B20; 81Q10
dc.titleScattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials
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