Asymptotics of the scattering coefficients for a generalized Schrödinger equation

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dc.contributorVirginia Techen
dc.contributor.authorAktosun, T.en
dc.contributor.authorKlaus, Martinen
dc.contributor.departmentMathematicsen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:15Zen
dc.date.available2014-04-09T18:12:15Zen
dc.date.issued1999-08en
dc.description.abstractThe generalized Schrodinger equation d(2)psi/dx(2) + F(k)psi=[ikP(x) + Q(x)]psi is considered, where P and Q are integrable potentials with finite first moments and F satisfies certain conditions. The behavior of the scattering coefficients near zeros of F is analyzed. It is shown that in the so-called exceptional case, the values of the scattering coefficients at a zero of F may be affected by P(x). The location of the k-values in the complex plane where the exceptional case can occur is studied. Some examples are provided to illustrate the theory. (C) 1999 American Institute of Physics. [S0022-2488(99)03007-8].en
dc.description.sponsorshipNSF DMS-9501053, DMS-980321en
dc.identifier.citationAktosun, T.; Klaus, M., "Asymptotics of the scattering coefficients for a generalized Schrödinger equation," J. Math. Phys. 40, 3701 (1999); http://dx.doi.org/10.1063/1.532920en
dc.identifier.doihttps://doi.org/10.1063/1.532920en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47025en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/40/8/10.1063/1.532920en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectriemann-hilbert problemen
dc.subjectinverse scatteringen
dc.subjectwave scatteringen
dc.subjectenergyen
dc.subjectlineen
dc.titleAsymptotics of the scattering coefficients for a generalized Schrödinger equationen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden

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