Ambarzumyan Theorems for Dirac Operators

• 作者: Chuan-fu YANG Feng WANG Zhen-you HUANG
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2021,（2）
• 页码范围: 287-298
• 页数: 12页
• 语种: 英文

摘要

We consider the inverse eigenvalue problems for stationary Dirac systems with differentiable self-adjoint matrix potential.The theorem of Ambarzumyan for a Sturm-Liouville problem is extended to Dirac operators,which are subject to separation boundary conditions or periodic (semi-periodic) boundary conditions,and some analogs of Ambarzumyan's theorem are obtained.The proof is based on the existence and extremal properties of the smallest eigenvalue of corresponding vectorial Sturm-Liouville operators,which are the second power of Dirac operators.