Reflectionless Sturm-Liouville Equations

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dc.creatorSims, Robert
dc.date2006-05-03
dc.date.accessioned2026-07-07T07:13:42Z
dc.date.available2026-07-07T07:13:42Z
dc.descriptionWe consider compactly supported perturbations of periodic Sturm-Liouville equations. In this context, one can use the Floquet solutions of the periodic background to define scattering coefficients. We prove that if the reflection coefficient is identically zero, then the operators corresponding to the periodic and perturbed equations, respectively, are unitarily equivalent. In some appendices, we also provide the proofs of several basic estimates, e.g. bounds and asymptotics for the relevant m-functions.
dc.identifierhttps://arxiv.org/abs/math-ph/0605007
dc.identifierhttp://arxiv.org/abs/math-ph/0605007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112570
dc.subjectMathematical Physics
dc.subject47A40; 34L25
dc.titleReflectionless Sturm-Liouville Equations
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