Numerical investigation for the properties of nonintegrable quantum systems eigenspace in the line of quantum-classical correspondence
文献类型：期刊论文
| 作者 | Xing, YZ; Xu, GO; Li, JQ |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2001-04-15 |
| 卷号 | 35页码:417-424 |
| 关键词 | nonlinear resonance violation of topological structure minimum uncertainty measure effective Hamiltonian matrix Gaussian orthogonal ensemble |
| ISSN号 | 0253-6102 |
| 英文摘要 | The properties of the eigenspace of nonintegrable quantum systems are explored in detail in the light of the viewpoint of quantum-classical completely correspondence proposed recently by Xu et al. The changes of the topological structure in the state space of autonomous quantum system due to the nonlinear resonance are displayed numerically with the uncertainty measure of a special initial state rho (alpha)(lambda) and the transformation matrix U(lambda + delta lambda,lambda -delta lambda). The statistical behavior of the subspace occupied by the state in eigenspace of quantum nonintegrable system is discussed carefully with the help of a special renormalization method. The results show that the randomness of effective Hamiltonian matrix, the transition matrix and the nearest level spacings in;this region can be described by random matrix theory. And the extent of agreement of our calculation with the prediction of GOE is in correspondence to the extent of the classical torus violation. |
| WOS关键词 | GENERAL CHARACTER ; REGULAR MOTION ; INTEGRABILITY ; CHAOS |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000168939700008 |
| 出版者 | INT ACADEMIC PUBL |
| 源URL | [http://119.78.100.186/handle/113462/37298]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Xing, YZ |
| 作者单位 | 1.Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China 2.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China 3.Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China 4.Tianshui Normal Coll, Dept Phys, Tianshui 741000, Gansu Province, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xing, YZ,Xu, GO,Li, JQ. Numerical investigation for the properties of nonintegrable quantum systems eigenspace in the line of quantum-classical correspondence[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2001,35:417-424. |
| APA | Xing, YZ,Xu, GO,&Li, JQ.(2001).Numerical investigation for the properties of nonintegrable quantum systems eigenspace in the line of quantum-classical correspondence.COMMUNICATIONS IN THEORETICAL PHYSICS,35,417-424. |
| MLA | Xing, YZ,et al."Numerical investigation for the properties of nonintegrable quantum systems eigenspace in the line of quantum-classical correspondence".COMMUNICATIONS IN THEORETICAL PHYSICS 35(2001):417-424. |
入库方式： OAI收割
来源：近代物理研究所
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