ITP OpenIR  > 理论物理所2012年知识产出
Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics
Li, JQ; Miao, YG; Miao, YG (reprint author), Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China.
2012
发表期刊PHYSICAL REVIEW A
ISSN1050-2947
卷号85期号:4页码:42110
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.
部门归属[Li, Jun-Qing; Miao, Yan-Gang] Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China; [Miao, Yan-Gang] CAS, Kavli Inst Theoret Phys China, Beijing 100190, Peoples R China; [Miao, Yan-Gang] Univ Bonn, Bethe Ctr Theoret Phys, D-53115 Bonn, Germany; [Miao, Yan-Gang] Univ Bonn, Inst Phys, D-53115 Bonn, Germany
关键词Perturbation-theory Pt-symmetry Hamiltonians Spectrum Reality Model
学科领域Physics
资助者Alexander von Humboldt Foundation; National Natural Science Foundation of China [11175090]; Fundamental Research Funds for the Central Universities [65030021] ; Alexander von Humboldt Foundation; National Natural Science Foundation of China [11175090]; Fundamental Research Funds for the Central Universities [65030021] ; Alexander von Humboldt Foundation; National Natural Science Foundation of China [11175090]; Fundamental Research Funds for the Central Universities [65030021] ; Alexander von Humboldt Foundation; National Natural Science Foundation of China [11175090]; Fundamental Research Funds for the Central Universities [65030021]
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收录类别SCI
语种英语
资助者Alexander von Humboldt Foundation; National Natural Science Foundation of China [11175090]; Fundamental Research Funds for the Central Universities [65030021] ; Alexander von Humboldt Foundation; National Natural Science Foundation of China [11175090]; Fundamental Research Funds for the Central Universities [65030021] ; Alexander von Humboldt Foundation; National Natural Science Foundation of China [11175090]; Fundamental Research Funds for the Central Universities [65030021] ; Alexander von Humboldt Foundation; National Natural Science Foundation of China [11175090]; Fundamental Research Funds for the Central Universities [65030021]
WOS记录号WOS:000302696300004
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被引频次:5[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/15118
专题理论物理所2012年知识产出
通讯作者Miao, YG (reprint author), Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China.
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GB/T 7714
Li, JQ,Miao, YG,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,&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.
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