The Fejer average and the mean value of a quantity in a quasiclassical wave packet
文献类型：期刊论文
| 作者 | 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
 |
| 出版日期 | 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 |
| 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. |
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来源：理论物理研究所
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