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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
2001
发表期刊PHYSICAL REVIEW A
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
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.
文章类型Article
学科领域Optics; Physics
研究领域[WOS]Optics ; Physics
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语种英语
WOS类目Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号WOS:000171609900016
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被引频次:11[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ihep.ac.cn/handle/311005/240604
专题理论物理室
作者单位中国科学院高能物理研究所
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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.
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