The relation between one-to-one correspondent orthonormal eigenstates of H-0 and H(lambda) = H-0+lambda V
文献类型：期刊论文
| 作者 | Xu, GO; Xing, YZ; Li, JQ |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2001-01-15 |
| 卷号 | 35期号:5页码:11-14 |
| 关键词 | special Jacobi method analytical unitary matrix nonlinear resonance quantum canonical transformation |
| ISSN号 | 0253-6102 |
| 英文摘要 | The relation between one-to-one correspondent orthonormal eigenstates of H-0 and H(lambda) = H-0 + lambdaV is carefully studied with general perturbation theory. Attention is particularly paid to the analyticity and its local destruction due to nonlinear resonance. Numerical results are given to show such possibility with a special Jacobi diagonalization method. The conclusions show that for the system H(lambda) belonging to the same class as H-0, the relation between one-to-one correspondent orthonormal eigenstates \phi (i)(lambda)] and \phi (0)(m(i))] can be expressed as an analytical unitary matrix which can be identified to the relevant quantum canonical transformation. But for the system H(lambda) violated dynamical symmetry, the relation between one-to-one correspondent orthonormal eigenstates cannot be expressed as an analytical unitary matrix. Such a kind of unitary matrix cannot be taken as a quantum canonical transformation to define quantum mechanical quantities. This is a key point for studying the quantum chaos with the help of dynamical symmetry theory. |
| WOS关键词 | QUANTUM |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000167529500003 |
| 出版者 | BALTZER SCI PUBL BV |
| 公开日期 | 2010-10-29 |
| 源URL | [http://ir.imp.cas.cn/handle/113462/1851]  |
| 专题 | 近代物理研究所_近代物理研究所知识存储（2010之前） |
| 通讯作者 | Xing, YZ |
| 作者单位 | 1.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China 2.Tianshui Normal Coll, Dept Phys, Tianshui 741000, Gansu Province, Peoples R China 3.Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, GO,Xing, YZ,Li, JQ. The relation between one-to-one correspondent orthonormal eigenstates of H-0 and H(lambda) = H-0+lambda V[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2001,35(5):11-14. |
| APA | Xu, GO,Xing, YZ,&Li, JQ.(2001).The relation between one-to-one correspondent orthonormal eigenstates of H-0 and H(lambda) = H-0+lambda V.COMMUNICATIONS IN THEORETICAL PHYSICS,35(5),11-14. |
| MLA | Xu, GO,et al."The relation between one-to-one correspondent orthonormal eigenstates of H-0 and H(lambda) = H-0+lambda V".COMMUNICATIONS IN THEORETICAL PHYSICS 35.5(2001):11-14. |
入库方式： OAI收割
来源：近代物理研究所
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