Analytic exact solution of one-dimentional nonautonomous classical harmonic oscillator
文献类型：期刊论文
| 作者 | Wang, P; Wang, SJ |
| 刊名 | HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION
 |
| 出版日期 | 2005-07-01 |
| 卷号 | 29页码:651-656 |
| 关键词 | algebraic dynamics method SU(1,1) nonautonomous classical harmonic oscillator analytic exact solution |
| ISSN号 | 0254-3052 |
| 英文摘要 | One-dimensional time-dependent classical harmonic oscillator is a nonautonomous system with an SU(1, 1) dynamical symmetry. By means of algebraic dynamics method, we have obtained its exact solution for the first time. As the time-dependent stiffness of the harmonic oscillator assumes some elementary functions, such as power functions, trigonal functions, exponential functions etc., the exact solutions become analytic. The recently proposed "analytic approximation solution" is proved to be a good approximation to the corresponding analytic solution under some conditions. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000230551800006 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://119.78.100.186/handle/113462/25167]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Wang, SJ |
| 作者单位 | 1.Sichuan Univ, Dept Phys, Chengdu 610064, Peoples R China 2.SW Jiaotong Univ, Inst Phys, Chengdu 610031, Peoples R China 3.Natl Lab Heavy Ion Accelerator Lanzhou, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, P,Wang, SJ. Analytic exact solution of one-dimentional nonautonomous classical harmonic oscillator[J]. HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION,2005,29:651-656. |
| APA | Wang, P,&Wang, SJ.(2005).Analytic exact solution of one-dimentional nonautonomous classical harmonic oscillator.HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION,29,651-656. |
| MLA | Wang, P,et al."Analytic exact solution of one-dimentional nonautonomous classical harmonic oscillator".HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION 29(2005):651-656. |
入库方式： OAI收割
来源：近代物理研究所
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