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Liu, QH; Wang, X; Qi, WH; Fu, LP; Hu, B; Liu, QH , Hunan Univ, Dept Appl Phys, Changsha 410082, Peoples R China.
The Fejer average and the mean value of a quantity in a quasiclassical wave packet
Source PublicationJOURNAL OF MATHEMATICAL PHYSICS
KeywordMechanics
AbstractThe 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.
2002
ISSN0022-2488
Volume43Issue:1Pages:170-181
Subject AreaPhysics
Indexed BySCI
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Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/13619
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLiu, QH , Hunan Univ, Dept Appl Phys, Changsha 410082, Peoples R China.
Recommended Citation
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.
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