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dc.contributorVirginia Techen
dc.contributor.authorKlaus, M.en
dc.contributor.authorvan der Mee, Cornelisen
dc.date.accessioned2014-04-09T18:12:29Zen
dc.date.available2014-04-09T18:12:29Zen
dc.date.issued2010-05en
dc.identifier.citationKlaus, M.; van der Mee, C., "Wave operators for the matrix Zakharov-Shabat system," J. Math. Phys. 51, 053503 (2010); http://dx.doi.org/10.1063/1.3377048en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47098en
dc.description.abstractIn this article, we prove the similarity (and, in the focusing case, the J-unitary equivalence) of the free Hamiltonian and the restriction of the full Hamiltonian to the maximal invariant subspace on which its spectrum is real for the matrix Zakharov-Shabat system under suitable conditions on the potentials. This restriction of the full Hamiltonian is shown to be a scalar-type spectral operator whose resolution of the identity is evaluated. In the focusing case, the restricted full Hamiltonian is an absolutely continuous, J-self-adjoint non-J-definitizable, operator allowing a spectral theorem without singular critical points. To illustrate the results, two examples are provided. (C) 2010 American Institute of Physics. [doi:10.1063/1.3377048]en
dc.description.sponsorshipItalian Ministry of University Education and Research (MIUR) 20083KLJJEZen
dc.description.sponsorshipAutonomous Region of Sardiniaen
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectinverse scatteringen
dc.subjecthamiltonian-systemsen
dc.subjecteigenvaluesen
dc.subjectlineen
dc.titleWave operators for the matrix Zakharov-Shabat systemen
dc.typeArticle - Refereeden
dc.contributor.departmentMathematicsen
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/51/5/10.1063/1.3377048en
dc.date.accessed2014-03-20en
dc.title.serialJournal of Mathematical Physicsen
dc.identifier.doihttps://doi.org/10.1063/1.3377048en


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