Resonances for steplike potentials: forward and inverse results

T. Christiansen

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arXiv · math/0305335

Resonances for steplike potentials: forward and inverse results

T. Christiansen

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Abstract

We 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.

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BibTeX RIS

T. Christiansen. 2003-05-23. Resonances for steplike potentials: forward and inverse results. https://arxiv.org/abs/math/0305335

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