摘要
研究了一维Dirac方程的周期边值问题,获得了特征值的基本性质.将特征值的存在性问题转化为一个整函数的零点问题,并用复分析的方法获得了该整函数零点的渐近性态,从而获得了特征值的渐近估计和迹公式.
The problem of one-dimensional Dirac equation with periodic boundary conditions is studied, and the basic characteristics of the eigenvalues are obtained. The existence of eigenvalues is transformed into zero points of an integral function, whose asymptotic qualities are gained by using complex analytic methods. Then, the asymptotic evaluations of the eigenvalues and the trace formula are obtained.
出处
《郑州大学学报（理学版）》
CAS
2008年第3期14-17,共4页
Journal of Zhengzhou University:Natural Science Edition
基金
国家自然科学基金资助项目
编号10671184
