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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
DOI10.1140/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
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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.

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来源:近代物理研究所

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