摘要
研究了一类有深刻力学背景的非自伴算子(即无穷维Hamilton算子)的谱,给出了一类无穷维Hamilton算子的谱的刻画.构造了一些具体的例子,把结果应用在波动方程生成的无穷维Hamilton算子上,得到了该算子的谱分布.
The spectrum is investigated for a class of nonselfadjoint operators with deep mechanic background, i.e. infinite dimensional Hamiltonian operators, and their spectral description is given. Also some examples are cited to illustrate the effectiveness of the paper′s results, in particular, the results are applied to an infinite dimensional Hamiltonian operator generated by a wave equation and its spectral distribution is obtained.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
2004年第3期326-329,共4页
Journal of Dalian University of Technology
基金
国家自然科学基金资助项目(10162003).
