Periodic orbits and trace formula - Integrable systems
文献类型：期刊论文
| 作者 | Song, JJ; Liu, F; Li, SW; Li, XG |
| 刊名 | HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION
 |
| 出版日期 | 2001-09-01 |
| 卷号 | 25期号:9页码:872-876 |
| 关键词 | integrable system periodic orbit trace formula density of state |
| ISSN号 | 0254-3052 |
| 英文摘要 | The two-dimensional uncoupled quartic oscillator was chosen to test the validity of the Berry-Tabor trace formula. Periodic orbits of the system were calculated by integrating Hamiltonian equations of motion on reasonable tori and the curvatures on the energy surface were obtained by carefully constructing the orbits around the reasonable tori. Finally, the value of the semiclassical action function and that of the quantum action function in the case S < 30 were compared, and the good agreement between the two functions indicates the validity of the trace formula. On the other hand, in the quantum action function R-QM ( S, E ) - S figuration, that peaks appeared at the action values corresponding to the periodic orbits of the classical system provide rich information on quantum-classical correspondence. |
| WOS关键词 | QUANTUM-MECHANICS ; BOUND SPECTRUM |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000171196800012 |
| 出版者 | SCIENCE PRESS |
| 公开日期 | 2010-10-29 |
| 源URL | [http://ir.imp.cas.cn/handle/113462/1473]  |
| 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 | Song, JJ |
| 作者单位 | 1.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China 2.NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China 3.Res Ctr Theoret Nucl Phys, Natl Lab Heavy Ion Collis, Lanzhou 730000, Peoples R China |
| 推荐引用方式 GB/T 7714 | Song, JJ,Liu, F,Li, SW,et al. Periodic orbits and trace formula - Integrable systems[J]. HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION,2001,25(9):872-876. |
| APA | Song, JJ,Liu, F,Li, SW,&Li, XG.(2001).Periodic orbits and trace formula - Integrable systems.HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION,25(9),872-876. |
| MLA | Song, JJ,et al."Periodic orbits and trace formula - Integrable systems".HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION 25.9(2001):872-876. |
入库方式： OAI收割
来源：近代物理研究所
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