KMS Of Academy of mathematics and systems sciences, CAS
Fisher information, kinetic energy and uncertainty relation inequalities | |
Luo, SL | |
2002-06-28 | |
Source Publication | JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL |
ISSN | 0305-4470 |
Volume | 35Issue:25Pages:5181-5187 |
Abstract | By interpolating between Fisher information and mechanical kinetic energy, we introduce a general notion of kinetic energy with respect to a parameter of Schrodinger wavefunctions from a statistical inference perspective. Kinetic energy is the sum of Fisher information and an integral of a parametrized analogue of quantum mechanical current density related to phase. A family of integral inequalities concerning kinetic energy and moments are established, among which the Cramer-Rao inequality and the Weyl-Heisenberg inequality, are special cases. In particular, the integral inequalities involving the negative order moments are relevant to the study of electron systems. Moreover, by specifying the parameter to a scale, we obtain a family of inequalities of uncertainty relation type which incorporate the position and momentum observables symmetrically in a single quantity. |
Language | 英语 |
WOS Research Area | Physics |
WOS Subject | Physics, Multidisciplinary ; Physics, Mathematical |
WOS ID | WOS:000177080500003 |
Publisher | IOP PUBLISHING LTD |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/17053 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | 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 |
Recommended Citation GB/T 7714 | Luo, SL. Fisher information, kinetic energy and uncertainty relation inequalities[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,2002,35(25):5181-5187. |
APA | Luo, SL.(2002).Fisher information, kinetic energy and uncertainty relation inequalities.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,35(25),5181-5187. |
MLA | Luo, SL."Fisher information, kinetic energy and uncertainty relation inequalities".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 35.25(2002):5181-5187. |
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