| 只有纯虚谱的Hamilton算子 |
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| 引用本文： | 吴德玉,阿拉坦仓.只有纯虚谱的Hamilton算子[J].数学的实践与认识,2008,38(9):160-165. |
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| 作者姓名： | 吴德玉 阿拉坦仓 |
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| 作者单位： | 内蒙古大学,数学系,内蒙古,010021 |
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| 基金项目： | 国家自然科学基金
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内蒙古自然科学基金 |
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| 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.
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| 关 键 词： | Hamilton算子 点谱 剩余谱 正则点 纯虚谱 |
| 修稿时间： | 2007年10月9日 |
Hamiltonian Operators with Pure Imaginary Spectrum Only |
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| WU De-yu,Alatancang.Hamiltonian Operators with Pure Imaginary Spectrum Only[J].Mathematics in Practice and Theory,2008,38(9):160-165. |
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| Authors: | WU De-yu Alatancang |
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| Abstract: | 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. |
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| Keywords: | Hamiltonian operators point spectrum residual spectrum regular point pure imaginary spectrum |
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