Resonances for steplike potentials: forward and inverse results

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dc.creatorChristiansen, T.
dc.date2003-05-23
dc.date.accessioned2026-07-07T04:58:13Z
dc.date.available2026-07-07T04:58:13Z
dc.descriptionWe consider resonances associated to the operator $-\frac{d^2}{dx^2}+V(x)$, where $V(x)=V_+$ if $x>x_M$ and $V(x)=V_-$ if $x<-x_M$, with $V_+\not = V_-$. We obtain asymptotics of the resonance-counting function in several regions. Moreover, we show that in several situations, the resonances, $V_+$, and $V_-$ determine $V$ uniquely up to translation.
dc.description16 pages; submitted
dc.identifierhttps://arxiv.org/abs/math/0305335
dc.identifierhttp://arxiv.org/abs/math/0305335
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67550
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject34L25; 34A55, 81U40
dc.titleResonances for steplike potentials: forward and inverse results
dc.typetext

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