Small-energy analysis for the self-adjoint matrix Schrodinger operator on the half line

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dc.contributorVirginia Techen
dc.contributor.authorAktosun, Tuncayen
dc.contributor.authorKlaus, Martinen
dc.contributor.authorWeder, Ricardoen
dc.contributor.departmentMathematicsen
dc.date.accessed2014-01-25en
dc.date.accessioned2014-01-23T13:49:07Zen
dc.date.available2014-01-23T13:49:07Zen
dc.date.issued2011-10en
dc.description.abstractThe matrix Schrodinger equation with a self-adjoint matrix potential is considered on the half line with the most general self-adjoint boundary condition at the origin. When the matrix potential is integrable and has a first moment, it is shown that the corresponding scattering matrix is continuous at zero energy. An explicit formula is provided for the scattering matrix at zero energy. The small-energy asymptotics are established also for the related Jost matrix, its inverse, and various other quantities relevant to the corresponding direct and inverse scattering problems. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3640029]en
dc.description.sponsorshipConsejo Nacional de Ciencia y Tecnologia (CONACYT) CB2008-99100-Fen
dc.description.sponsorshipTexas Norman Hackerman Advanced Research Program (NHARP) 003656-0046-2007en
dc.description.sponsorshipDepartment of Defense DOD-BC063989en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationAktosun, Tuncay; Klaus, Martin; Weder, Ricardo, "Small-energy analysis for the self-adjoint matrix Schrodinger operator on the half line," J. Math. Phys. 52, 102101 (2011); http://dx.doi.org/10.1063/1.3640029en
dc.identifier.doihttps://doi.org/10.1063/1.3640029en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/25114en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/52/10/10.1063/1.3640029en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectinverse scattering problemen
dc.subjectquantum graphsen
dc.subjectboundary-conditionsen
dc.subjectkirchhoffs ruleen
dc.subjectequationen
dc.subjectasymptoticsen
dc.subjectbehavioren
dc.subjectwiresen
dc.titleSmall-energy analysis for the self-adjoint matrix Schrodinger operator on the half lineen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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