| 王红勇，姜琴，朱晖.4阶非Hermitian哈密尔顿系统的谱[J].南华大学学报(自然科学版),2013,27(4):56~58.[WANG Hong-yong,JIANG Qin,ZHU Hui.On the Spectrum of a 4 by 4 Non-Hermitian Hamiltonian[J].Journal of University of South China(Science and Technology),2013,27(4):56~58.] |
| 4阶非Hermitian哈密尔顿系统的谱 |
| On the Spectrum of a 4 by 4 Non-Hermitian Hamiltonian |
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| DOI： |
| 中文关键词: 非Hermitian 谱 特征值 |
| 英文关键词:non-Hermitian spectrum eigenvalue |
| 基金项目:衡阳市科技局基金资助项目（2011KJ4）;南华大学博士启动基金资助项目（2011XQD36）；湖南省自然科学基金资助项目（14JJ6020） |
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| 中文摘要: |
| 离散的非Hermitian矩阵在物理学应用领域中有着极其重要的作用，本文针对来源于非Hermitian离散量子系统的一个4阶的复三对角矩阵，给出其谱为实谱的必要条件及在一定条件下的充要条件。 |
| 英文摘要: |
| The problem of discrete non-Hermitian plays an important role in the physical Applications,according to a 4 × 4 tridiagonal complex matrix which originated from a non-Hermitian discrete quantum system,we consider the necessary and sufficient conditions of the reality of its spectrum under certain conditions. |
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