A NEW APPROACH TO THE STUDY OF NOETHER INVARIANTS AND SYMMETRY ALGEBRAS
文献类型：期刊论文
| 作者 | GAO, XC; XU, JB; GAO, J; GAO, XC , CHINESE CTR ADV SCI & TECHNOL WORLD LAB,POB 8730,BEIJING,PEOPLES R CHINA. |
| 刊名 | PROGRESS OF THEORETICAL PHYSICS
 |
| 出版日期 | 1992 |
| 卷号 | 87期号:4页码:861-870 |
| 关键词 | Harmonic-oscillator |
| ISSN号 | 0033-068X |
| 英文摘要 | In this paper, the driven generalized time-dependent harmonic oscillator (DGTHO) is studied by making use of the new concept of quantum basic invariants. The connection between the quantum basic invariants and classical Noether's theorem is discussed. The classical basic invariants as well as the general form of classical invariants for the system are found. From these, we get the five Noether invariants and the set of corresponding infinitesimal generators {G(k)}, hence, generalizing the work of G. Profilo and G. Soliani. Also, for the system, we calculate the current algebra which, as the central extension of the {G(k)} algebra, should be regarded as the dynamical symmetry algebra for the system and is therefore more important than the {G(k)} algebra. Finally, we demonstrate the existence of a kind of converse of Noether's theorem. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:A1992HU47200002 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/12175]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | GAO, XC , CHINESE CTR ADV SCI & TECHNOL WORLD LAB,POB 8730,BEIJING,PEOPLES R CHINA. |
| 推荐引用方式 GB/T 7714 | GAO, XC,XU, JB,GAO, J,et al. A NEW APPROACH TO THE STUDY OF NOETHER INVARIANTS AND SYMMETRY ALGEBRAS[J]. PROGRESS OF THEORETICAL PHYSICS,1992,87(4):861-870. |
| APA | GAO, XC,XU, JB,GAO, J,&GAO, XC , CHINESE CTR ADV SCI & TECHNOL WORLD LAB,POB 8730,BEIJING,PEOPLES R CHINA..(1992).A NEW APPROACH TO THE STUDY OF NOETHER INVARIANTS AND SYMMETRY ALGEBRAS.PROGRESS OF THEORETICAL PHYSICS,87(4),861-870. |
| MLA | GAO, XC,et al."A NEW APPROACH TO THE STUDY OF NOETHER INVARIANTS AND SYMMETRY ALGEBRAS".PROGRESS OF THEORETICAL PHYSICS 87.4(1992):861-870. |
入库方式： OAI收割
来源：理论物理研究所
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