Knowledge Management System of Institute of Theoretical Physics, CAS
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 Publication | JOURNAL OF MATHEMATICAL PHYSICS |
Keyword | Mechanics |
Abstract | 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. |
2002 | |
ISSN | 0022-2488 |
Volume | 43Issue:1Pages:170-181 |
Subject Area | Physics |
Indexed By | SCI |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/13619 |
Collection | SCI期刊论文 |
Corresponding Author | Liu, 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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