On uniqueness and nonuniqueness for potential reconstruction in quantum fields from one measurement II. the non-radial case
Analysis of PDEs
2019-07-04 v1
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.
Keywords
Cite
@article{arxiv.1907.01948,
title = {On uniqueness and nonuniqueness for potential reconstruction in quantum fields from one measurement II. the non-radial case},
author = {Zhi-Qiang Miao and Guang-Hui Zheng},
journal= {arXiv preprint arXiv:1907.01948},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1903.11825