A generalized Noether theorem for scaling symmetry

doi:10.1140/epjp/s13360-020-00247-5

	A generalized Noether theorem for scaling symmetry
	Zhang, P. -M.1,2; Elbistan, M.2,3; Horvathy, P. A.3; Kosinski, P.4
刊名	EUROPEAN PHYSICAL JOURNAL PLUS
	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.
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关键词	CONFORMAL-INVARIANCE ; GRAVITATIONAL-WAVES
WOS研究方向	Physics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000513666600001
资助机构	Denis Poisson Institute of Orleans - Tours University ; National Natural Science Foundation of China ; National Science Centre of Poland
内容类型	期刊论文
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.