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.
出处
《曲阜师范大学学报(自然科学版)》
CAS
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)
关键词
奇异Hamilton算子
极限点型
亏指数
积算子
自伴扩张
Singular Hamiltonian operator
limit point case
deficiency index
product of operator
self-adjoint extension