Continuity of the S matrix for the perturbed Hill's equation

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dc.contributorVirginia Techen
dc.contributor.authorClemence, D. P.en
dc.contributor.authorKlaus, Martinen
dc.contributor.departmentMathematicsen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:17Zen
dc.date.available2014-04-09T18:12:17Zen
dc.date.issued1994-07en
dc.description.abstractThe behavior of the scattering matrix associated with the perturbed Hill's equation as the spectral parameter approaches an endpoint of a spectral band is studied. In particular, the continuity of the scattering matrix at the band edges is proven and explicit expressions for the transmission and reflection coefficients at those points are derived. All possible cases are discussed and our fall-off assumptions on the perturbation are weaker than those made by other authors.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationClemence, D. P.; Klaus, M., "Continuity of the S matrix for the perturbed Hill's equation," J. Math. Phys. 35, 3285 (1994); http://dx.doi.org/10.1063/1.530467en
dc.identifier.doihttps://doi.org/10.1063/1.530467en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47035en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/35/7/10.1063/1.530467en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectscatteringen
dc.subjectlineen
dc.titleContinuity of the S matrix for the perturbed Hill's equationen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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