The Fejer average and the mean value of a quantity in a quasiclassical wave packet

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	The Fejer average and the mean value of a quantity in a quasiclassical wave packet
	Liu, QH; Wang, X; Qi, WH; Fu, LP; Hu, B; Liu, QH , Hunan Univ, Dept Appl Phys, Changsha 410082, Peoples R China.
刊名	JOURNAL OF MATHEMATICAL PHYSICS
	2002
卷号	43 期号:1 页码:170-181
关键词	Mechanics
ISSN号	0022-2488
英文摘要	The mean value of a quantity in an equally weighted wave packet was recently found in the classical limit to be the Fejer average of partial sums of Fourier series expansion of the classical quantity, and the number of stationary states in it is equal to that of partial sums. The incompleteness of the Fejer average in representing a classical quantity enables us to define a classical uncertainty relation which turns out to be the counterpart of the quantum one. In this paper, two typical quantum systems, a harmonic oscillator and a particle in an infinite square well, are used to illustrate the above-mentioned points. (C) 2002 American Institute of Physics.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000172790200011
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/13619]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Liu, QH , Hunan Univ, Dept Appl Phys, Changsha 410082, Peoples R China.
推荐引用方式 GB/T 7714	Liu, QH,Wang, X,Qi, WH,et al. The Fejer average and the mean value of a quantity in a quasiclassical wave packet[J]. JOURNAL OF MATHEMATICAL PHYSICS,2002,43(1):170-181.
APA	Liu, QH,Wang, X,Qi, WH,Fu, LP,Hu, B,&Liu, QH , Hunan Univ, Dept Appl Phys, Changsha 410082, Peoples R China..(2002).The Fejer average and the mean value of a quantity in a quasiclassical wave packet.JOURNAL OF MATHEMATICAL PHYSICS,43(1),170-181.
MLA	Liu, QH,et al."The Fejer average and the mean value of a quantity in a quasiclassical wave packet".JOURNAL OF MATHEMATICAL PHYSICS 43.1(2002):170-181.