狄拉克算子的谱与从属解  

On Subordinate Solutions and the Spectrum of Dirac Operators

作　　者：王晓辉 Wang Xiaohui(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2022年第S01期130-136,共7页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(11971059)资助。

摘　　要：本文利用解的L^(2)范数,定义了狄拉克方程组■的从属解,并给出了Weyl-Titchmarsh函数与从属解的关系,然后利用此关系和谱测度的最小支集得到了从属解的同谱分解。In this article, the subordinate solution of the Dirac equations ■is defined by using the L^(2) norms, the relation between the subordinate solutions and Weyl-Titchmarsh function is given. Then, the decomposition of the spectrum is obtained by using the relation and the minimum support of spectrum measure.

关 键 词：狄拉克算子 Weyl-Titchmarsh函数 最小支集 L^(2)范数 从属理论 

分 类 号：O175.3[理学—数学]