On the Riemann–Hilbert problem for the one dimensional Schrödinger equation

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dc.contributorVirginia Techen
dc.contributor.authorAktosun, T.en
dc.contributor.authorKlaus, Martinen
dc.contributor.authorvan der Mee, Cornelisen
dc.contributor.departmentMathematicsen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:25Zen
dc.date.available2014-04-09T18:12:25Zen
dc.date.issued1993-07en
dc.description.abstractA matrix Riemann-Hilbert problem associated with the one-dimensional Schrodinger equation is considered, and the existence and uniqueness of its solutions are studied. The solution of this Riemann-Hilbert problem yields the solution of the inverse scattering problem for a larger class of potentials than the usual Faddeev class. Some examples of explicit solutions of the Riemann-Hilbert problem are given, and the connection with ambiguities in the inverse scattering problem is established.en
dc.description.sponsorshipNSF DMS-9096268, DMS-9217627en
dc.identifier.citationAktosun, T.; Klaus, M.; Vandermee, C., "On the Riemann–Hilbert problem for the one dimensional Schrödinger equation," J. Math. Phys. 34, 2651 (1993); http://dx.doi.org/10.1063/1.530089en
dc.identifier.doihttps://doi.org/10.1063/1.530089en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47073en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/34/7/10.1063/1.530089en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectinverse scatteringen
dc.subjectlineen
dc.titleOn the Riemann–Hilbert problem for the one dimensional Schrödinger equationen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden

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