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arXiv · 1907.01948

On uniqueness and nonuniqueness for potential reconstruction in quantum fields from one measurement II. the non-radial case

Zhi-Qiang Miao·Guang-Hui Zheng
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Abstract

In this article we study uniqueness and nonuniqueness for potential reconstruction from one boundary measurement in quantum fields, associated with the steady state Schr\"{o}dinger equation. It is an extension of our recent work \cite{Zheng2019}. Based the theory of the ND map and modified bessel function, the uniqueness theorem of the inverse problem in two-dimensional nd three-dimensional core-shell structure is established, respectively. When different potential and shape are considered, the nonuniqueness results is also proved.

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Zhi-Qiang Miao, Guang-Hui Zheng. 2019-07-02. On uniqueness and nonuniqueness for potential reconstruction in quantum fields from one measurement II. the non-radial case. https://arxiv.org/abs/1907.01948

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