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Fisher information, kinetic energy and uncertainty relation inequalities
Luo, SL
2002-06-28
Source PublicationJOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN0305-4470
Volume35Issue:25Pages:5181-5187
AbstractBy 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 AreaPhysics
WOS SubjectPhysics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000177080500003
PublisherIOP PUBLISHING LTD
Citation statistics
Cited Times:34[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17053
Collection中国科学院数学与系统科学研究院
Affiliation1.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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