三个极限点型Hamilton算子乘积的自伴性  

Self-adjointness of the Product of Three Hamiltonian Operators under the Limit Point Case

作　　者：刘宝圣[1] 郑召文[1] 

机构地区：[1]曲阜师范大学数学科学学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2011年第3期1-5,共5页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(10801089);山东省自然科学基金(ZR2009AQ010)

摘　　要：讨论极限点型Hamilton系统生成的Hamilton算子的积算子的自伴性问题,研究方法不同于文献[1]的方法,利用GKN理论及奇异Hamilton系统自伴扩张的一般构造理论,得到了三个极限点型Hamilton算子的乘积是自伴的充要条件.This paper is concerned with self-adjointness of the product of three Hamiltonian operators under the limit point case.The method used in this paper is different from that in paper[1].Using the GKN theory and the construction of self-adjoint extension for singular Hamiltonian systems,the necessary and sufficient conditions which make the product of three Hamiltonian operator under the limit point case being self-adjoint operator are obtained.

关 键 词：奇异Hamilton算子 极限点型 亏指数 积算子 自伴扩张 

分 类 号：O175.1[理学—数学]