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Stability estimate in the inverse scattering for a single quantum particle in an external short-range potential
Comptes Rendus Mathematique ( IF 0.8 ) Pub Date : 2019-10-01 , DOI: 10.1016/j.crma.2019.09.009
Mourad Bellassoued , Luc Robbiano

In this paper we consider the inverse scattering problem for the Schr{o}dinger operator with short-range electric potential. We prove in dimension n $\geq$ 2 that the knowledge of the scattering operator determines the electric potential and we establish H{o}lder-type stability in determining the short range electric potential.

中文翻译:

外部短程势中单个量子粒子的逆散射稳定性估计

在本文中,我们考虑了具有短程电位的 Schr{o}dinger 算子的逆散射问题。我们在维度 n $\geq$ 2 中证明散射算子的知识决定了电势,并且我们在确定短程电势时建立了 H{o}lder 型稳定性。
更新日期:2019-10-01
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