A generalized Noether theorem for scaling symmetry
文献类型:期刊论文
作者 | Zhang, P. -M.1,2; Elbistan, M.2,3; Horvathy, P. A.3; Kosinski, P.4 |
刊名 | EUROPEAN PHYSICAL JOURNAL PLUS
![]() |
出版日期 | 2020-02-05 |
卷号 | 135期号:2页码:12 |
ISSN号 | 2190-5444 |
DOI | 10.1140/epjp/s13360-020-00247-5 |
通讯作者 | Elbistan, M.(mahmut.Elbistan@lmpt.univ-tours.fr) |
英文摘要 | The recently discovered conserved quantity associated with Kepler rescaling is generalized by an extension of Noether's theorem which involves the classical action integral as an additional term. For a free particle, the familiar Schrodinger dilations are recovered. A general pattern arises for homogeneous potentials. The associated conserved quantity allows us to derive the virial theorem. The relation to the Bargmann framework is explained and illustrated by exact plane gravitational waves. |
WOS关键词 | CONFORMAL-INVARIANCE ; GRAVITATIONAL-WAVES |
资助项目 | Denis Poisson Institute of Orleans - Tours University ; National Natural Science Foundation of China[11575254] ; National Science Centre of Poland[2016/23/B/ST2/00727] |
WOS研究方向 | Physics |
语种 | 英语 |
WOS记录号 | WOS:000513666600001 |
出版者 | SPRINGER HEIDELBERG |
资助机构 | Denis Poisson Institute of Orleans - Tours University ; National Natural Science Foundation of China ; National Science Centre of Poland |
源URL | [http://119.78.100.186/handle/113462/141660] ![]() |
专题 | 中国科学院近代物理研究所 |
通讯作者 | Elbistan, M. |
作者单位 | 1.Sun Yat Sen Univ, Sch Phys & Astron, Zhuhai 519082, Peoples R China 2.Chinese Acad Sci, Inst Modern Phys, Lanzhou, Peoples R China 3.Orleans Univ, Inst Denis Poisson, Univ Tours, UMR 7013, Tours, France 4.Univ Lodz, Dept Comp Sci, Fac Phys & Applied Informat, Pomorska 149-153, PL-90236 Lodz, Poland |
推荐引用方式 GB/T 7714 | Zhang, P. -M.,Elbistan, M.,Horvathy, P. A.,et al. A generalized Noether theorem for scaling symmetry[J]. EUROPEAN PHYSICAL JOURNAL PLUS,2020,135(2):12. |
APA | Zhang, P. -M.,Elbistan, M.,Horvathy, P. A.,&Kosinski, P..(2020).A generalized Noether theorem for scaling symmetry.EUROPEAN PHYSICAL JOURNAL PLUS,135(2),12. |
MLA | Zhang, P. -M.,et al."A generalized Noether theorem for scaling symmetry".EUROPEAN PHYSICAL JOURNAL PLUS 135.2(2020):12. |
入库方式: OAI收割
来源:近代物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。