Independent eigenstates of angular momentum in a quantum N-body system

	Independent eigenstates of angular momentum in a quantum N-body system
	Gu XY(顾晓艳); Duan B(段斌); Ma ZQ(马中骐); Gu, XY; Duan, B; Ma, ZQ
刊名	PHYSICAL REVIEW A
	2001
卷号	64 期号:4 页码:42108
通讯作者	China Ctr Adv Sci & Technol, World Lab, Beijing 100080, Peoples R China ; Inst High Energy Phys, Beijing 100039, Peoples R China
英文摘要	The global rotational degrees of freedom in the Schrodinger equation for an N-body system are completely separated from the internal ones. After removing the motion of the center of mass, we find a complete set of (2l + 1) independent base functions with angular momentum l. These are homogeneous polynomials in the components of the coordinate vectors and the solutions of the Laplace equation, where the Euler angles do not appear explicitly. Any function with given angular momentum and given parity in the system can be expanded with respect to the base functions, where the coefficients are the functions of the internal variables. With the right choice of the base functions and the internal variables, we explicitly establish the equations for those functions. Only (3N-6) internal variables are involved both in the functions and in the equations. The permutation symmetry of the wave functions for identical particles is discussed.
学科主题	Optics; Physics
类目[WOS]	Optics ; Physics, Atomic, Molecular & Chemical
研究领域[WOS]	Optics ; Physics
原文出处	SCI
语种	英语
WOS记录号	WOS:000171609900016
内容类型	期刊论文
源URL	[http://ir.ihep.ac.cn/handle/311005/240604]
专题	高能物理研究所_理论物理室
作者单位	中国科学院高能物理研究所
推荐引用方式 GB/T 7714	Gu XY,Duan B,Ma ZQ,et al. Independent eigenstates of angular momentum in a quantum N-body system[J]. PHYSICAL REVIEW A,2001,64(4):42108.
APA	顾晓艳,段斌,马中骐,Gu, XY,Duan, B,&Ma, ZQ.(2001).Independent eigenstates of angular momentum in a quantum N-body system.PHYSICAL REVIEW A,64(4),42108.
MLA	顾晓艳,et al."Independent eigenstates of angular momentum in a quantum N-body system".PHYSICAL REVIEW A 64.4(2001):42108.