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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 Schrödinger 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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