一类Hamiltion算子的谱分布及其可逆性  

Spectral Distribution and Its Invertibility of a Class of Hamiltonian Operators

作　　者：额布日力吐[1] 阿拉坦仓[1] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《应用数学学报》2012年第6期1113-1119,共7页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(批准号:10962004);高等学校博士学科点专项科研基金(批准号:20111501110001);内蒙古大学高层次人才引进科研项目(批准号:125120)资助项目

摘　　要：本文从Hamilton算子的特征函数与Hamilton算子的内部斜对角块算子之间的关系出发,证明了一类Hamilton算子的谱分布,进而得到这类Hamilton算子可逆的充要条件.最后应用具体的例子说明了所得结论的合理性.In this article, researching the relationship between the eigenfunctions and the off-diagonal operator matrices of Hamiltonian operator, the distribution of spectrum of a class of Hamiltonian operators is obtained. Furthermore, the necessary and sufficient condition of invertibility of the Hamiltonian operators is proved. Finally, the validity of the obtained results is verified by specific examples.

关 键 词：HAMILTON算子 特征函数 谱 可逆 

分 类 号：O177.7[理学—数学]