| 边界条件带特征参数的Dirac问题的迹 |
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| 引用本文： | 黄华,石琴春.边界条件带特征参数的Dirac问题的迹[J].河南科技大学学报(自然科学版),2008,29(6). |
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| 作者姓名： | 黄华 石琴春 |
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| 作者单位： | 1. 郑州大学,数学系,河南,郑州,450052
2. 中州大学,信息工程学院,河南,郑州,450052 |
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| 基金项目： | 河南省教育厅自然科学基金 |
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| 摘 要： | 利用Dirac方程初值问题解的渐近估计,构造了一个整函数,其零点集合与要讨论的Dirac问题的特征值集重合,对Dirac算子的特征值进行估计,借助于一个积分恒式,采用留数方法,得到了边界条件带特征参数的Dirac问题的渐近迹公式.
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| 关 键 词： | Dirac算子 特征值 留数方法 迹公式 |
Trace Formulas of Dirac Problem Under Boundary Conditions with Eigenparameters |
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| HUANG Hua,SHI Qin-Chun.Trace Formulas of Dirac Problem Under Boundary Conditions with Eigenparameters[J].Journal of Henan University of Science & Technology:Natural Science,2008,29(6). |
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| Authors: | HUANG Hua SHI Qin-Chun |
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| Institution: | HUANG Hua1,SHI Qin-Chun2 (1.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China,2.Information Engineering College,Zhongzhou University,China) |
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| Abstract: | In this paper,an entire function is constructed by using the asymptotic estimations of solutions of initial value problem for Dirac equation.The zeros of the entire function are the eigenvalues of Dirac eigenvalues problem under boundary conditions with eigenparameter.By resorting to the integral identity and using the residue method,the Dirac operator eigenvalue is esfimated and the eigenvalue's asymptotic trace identities of the Dirac problem is obtained. |
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| Keywords: | Dirac operator Eigenvalue Residue method Trace formula |
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