Kohn's theorem and Galilean symmetry

doi:10.1016/j.physletb.2011.06.081

	Kohn's theorem and Galilean symmetry
	Zhang, P-M.; Horvathy, P. A.
刊名	PHYSICS LETTERS B
	2011-08-11
卷号	702 页码:177-180
关键词	Kohn's theorem Galilean symmetry Newton-Hooke symmetry Bargmann space Non-relativistic conformal transformations
ISSN号	0370-2693
DOI	10.1016/j.physletb.2011.06.081
英文摘要	The relation between the separability of a system of charged particles in a uniform magnetic field and Galilean symmetry is revisited using Duval's "Bargmann framework". If the charge-to-mass ratios of the particles are identical, e(a)/m(a) = epsilon for all particles, then the Bargmann space of the magnetic system is isometric to that of an anisotropic harmonic oscillator. Assuming that the particles interact through a potential which only depends on their relative distances, the system splits into one representing the center of mass plus a decoupled internal part, and can be mapped further into an isolated system using Niederer's transformation. Conversely, the manifest Galilean boost symmetry of the isolated system can be "imported" to the oscillator and to the magnetic systems, respectively, to yield the symmetry used by Gibbons and Pope to prove the separability. For vanishing interaction potential the isolated system is free and our procedure endows all our systems with a hidden Schrodinger symmetry, augmented with independent internal rotations. All these properties follow from the cohomological structure of the Galilei group, as explained by Souriau's "decomposition barycentrique". (C) 2011 Elsevier B.V. All rights reserved.
资助项目	National Natural Science Foundation of China[11035006] ; Chinese Academy of Sciences[2010TIJ06]
WOS关键词	NONRELATIVISTIC CONFORMAL GROUPS ; HARMONIC-OSCILLATOR ; MECHANICS ; GEOMETRY ; SYSTEMS
WOS研究方向	Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000293928600015
资助机构	National Natural Science Foundation of China ; Chinese Academy of Sciences
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/34703]
专题	中国科学院近代物理研究所
通讯作者	Horvathy, P. A.
作者单位	Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Zhang, P-M.,Horvathy, P. A.. Kohn's theorem and Galilean symmetry[J]. PHYSICS LETTERS B,2011,702:177-180.
APA	Zhang, P-M.,&Horvathy, P. A..(2011).Kohn's theorem and Galilean symmetry.PHYSICS LETTERS B,702,177-180.
MLA	Zhang, P-M.,et al."Kohn's theorem and Galilean symmetry".PHYSICS LETTERS B 702(2011):177-180.