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

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.