Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics

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	Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics
	Li, JQ ; Miao, YG
刊名	PHYSICAL REVIEW A
	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
内容类型	期刊论文
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.