Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics
文献类型：期刊论文
| 作者 | Li, JQ ; Miao, YG |
| 刊名 | PHYSICAL REVIEW A
 |
| 出版日期 | 2012 |
| 卷号 | 85期号:4页码:42110 |
| 关键词 | PERTURBATION-THEORY PT-SYMMETRY HAMILTONIANS SPECTRUM REALITY MODEL |
| ISSN号 | 1050-2947 |
| 通讯作者 | Miao, YG (reprint author), Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China. |
| 英文摘要 | By adding an imaginary interacting term proportional to ip(1)p(2) to the Hamiltonian of a free anisotropic planar oscillator, we construct a model which is described by the PT-pseudo-Hermitian Hamiltonian with the permutation symmetry of two dimensions. We prove that our model is equivalent to the Pais-Uhlenbeck oscillator and thus establish a relationship between our PT-pseudo-Hermitian system and the fourth-order derivative oscillator model. We also point out the spontaneous breaking of permutation symmetry which plays a crucial role in giving a real spectrum free of interchange of positive and negative energy levels in our model. Moreover, we find that the permutation symmetry of two dimensions in our Hamiltonian corresponds to the identity (not in magnitude but in attribute) of two different frequencies in the Pais-Uhlenbeck oscillator, and reveal that the unequal-frequency condition imposed as a prerequisite upon the Pais-Uhlenbeck oscillator can reasonably be explained as the spontaneous breaking of this identity. |
| 学科主题 | Physics |
| 收录类别 | SCI |
| 资助信息 | Alexander von Humboldt Foundation; National Natural Science Foundation of China [11175090]; Fundamental Research Funds for the Central Universities [65030021] |
| 原文出处 | http://dx.doi.org/10.1103/PhysRevA.85.042110 |
| 语种 | 英语 |
| WOS记录号 | WOS:000302696300004 |
| 公开日期 | 2014-04-25 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/15118]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 推荐引用方式 GB/T 7714 | Li, JQ,Miao, YG. Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics[J]. PHYSICAL REVIEW A,2012,85(4):42110. |
| APA | Li, JQ,&Miao, YG.(2012).Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics.PHYSICAL REVIEW A,85(4),42110. |
| MLA | Li, JQ,et al."Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics".PHYSICAL REVIEW A 85.4(2012):42110. |
入库方式： OAI收割
来源：理论物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。