Borg-Type Theorems for Matrix-Valued Schrödinger Operators

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dc.creatorClark, Steve
dc.creatorGesztesy, Fritz
dc.creatorHolden, Helge
dc.creatorLevitan, Boris M.
dc.date1999-05-22
dc.date.accessioned2026-07-07T05:29:11Z
dc.date.available2026-07-07T05:29:11Z
dc.descriptionA Borg-type uniqueness theorem for matrix-valued Schrödinger operators is proved. More precisely, assuming a reflectionless potential matrix and spectrum a half-line $[0,\infty)$, we derive triviality of the potential matrix. Our approach is based on trace formulas and matrix-valued Herglotz representation theorems. As a by-product of our techniques, we obtain an extension of Borg's classical result from the class of periodic scalar potentials to the class of reflectionless matrix-valued potentials.
dc.descriptionLaTeX, 22 pages
dc.identifierhttps://arxiv.org/abs/math/9905143
dc.identifierhttp://arxiv.org/abs/math/9905143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78546
dc.subjectSpectral Theory
dc.titleBorg-Type Theorems for Matrix-Valued Schrödinger Operators
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