Abstract

We consider the inverse problem for a massless Dirac operator on the half-line such that the support of its potential has fixed upper boundary and solve it in terms of a Jost function and a scattering matrix. We prove that the potential of such an operator is uniquely determined by its resonances.

中文翻译：

---

半线上狄拉克算子的共振

摘要

我们考虑半线上无质量狄拉克算子的逆问题，使得其势的支持具有固定的上边界，并根据约斯特函数和散射矩阵来解决它。我们证明了这种算子的潜力是由它的共振唯一决定的。