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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