摘要
刻画了一类无穷维Hamilton算子的谱的分布情况,并得到了无穷维Hamilton算子只有纯虚谱的充分条件.最后,构造出具体的例子以说明判别准则的有效性.
The spectrum of infinite dimensional Hamiltonian operators are considered and the sufficient condition for infinite dimensional Hamiltonian operators have only pure imaginary spectrum is obtained. In the end, a concrete example of infinite dimensional Hamiltonian operator is constructed to justify the effectiveness of the criterions.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第9期160-165,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(10562002
10162003)
内蒙古自然科学基金(200508010103)
关键词
HAMILTON算子
点谱
剩余谱
正则点
纯虚谱
Hamiltonian operators
point spectrum
residual spectrum
regular point
pure imaginary spectrum
