基于内部谱数据非连续 Dirac 算子的逆问题

摘要

考虑定义在[0,π]区间上内部有跳跃间断点的非连续 Dirac 算子的逆问题,证明了特征值及其对应的特征向量(即内部谱数据)可唯一确定该系统的势函数。%An inverse problem for Dirac operator with discontinuities in [0,π]was studied,of which the potential function can be uniquely determined by a set of values of eigenvectors at some internal point and one spectrum(i.e.interior spectral data).