Statistics of local value in quantum mechanics
文献类型：期刊论文
| 作者 | Luo, SL
|
| 刊名 | INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
 |
| 出版日期 | 2002-09-01 |
| 卷号 | 41期号:9页码:1713-1731 |
| 关键词 | local value classical observable Fisher information conditional expectation Heisenberg uncertainty principle |
| ISSN号 | 0020-7748 |
| 英文摘要 | Given a quantum mechanical observable and a state, one can construct a classical observable, that is, a real function on the configuration space, such that it is the optimal estimate of the quantum observable, in the sense of minimum variance. This optimal estimate turns out to be the quantum mechanical local value, which arises from several contexts such as de Broglie-Bohm's casual approach to quantum mechanics, instantaneous frequency in time frequency analysis, Nelson's quantum fluctuations formalism, and phase-space approach to quantum mechanics. Accordingly, any observable can be decomposed into a local value part and a quantum fluctuation part, which are independent, both geometrically and statistically. Furthermore, the current density in quantum mechanics, the osmotic velocity in stochastic mechanics, and the Fisher information in classical statistical inference, arise naturally in connection with local value. In particular, Heisenberg uncertainty principle can be quantified more precisely by virtue of local value. |
| 语种 | 英语 |
| WOS记录号 | WOS:000179181800006 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17055]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, SL |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.City Univ Hong Kong, Liu Bie Ju Ctr Math Sci, Kowloon, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, SL. Statistics of local value in quantum mechanics[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,2002,41(9):1713-1731. |
| APA | Luo, SL.(2002).Statistics of local value in quantum mechanics.INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,41(9),1713-1731. |
| MLA | Luo, SL."Statistics of local value in quantum mechanics".INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 41.9(2002):1713-1731. |
入库方式： OAI收割
来源：数学与系统科学研究院
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