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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.
2002
发表期刊JOURNAL OF MATHEMATICAL PHYSICS
ISSN0022-2488
卷号43期号:1页码:170-181
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.
部门归属Hunan Univ, Dept Appl Phys, Changsha 410082, Peoples R China; Hong Kong Baptist Univ, Dept Phys, Hong Kong, Hong Kong, Peoples R China; Hong Kong Baptist Univ, Ctr Nonlinear Studies, Hong Kong, Hong Kong, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Univ Houston, Dept Phys, Houston, TX 77204 USA
关键词Mechanics
学科领域Physics
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收录类别SCI
WOS记录号WOS:000172790200011
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被引频次:6[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13619
专题理论物理所SCI论文
通讯作者Liu, QH , Hunan Univ, Dept Appl Phys, Changsha 410082, Peoples R China.
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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.
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