Fisher information matrix of Husimi distribution

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	Fisher information matrix of Husimi distribution
	Luo, SL
	2001-03-01
发表期刊	JOURNAL OF STATISTICAL PHYSICS
ISSN	0022-4715
卷号	102 期号:5-6 页码:1417-1428
摘要	We calculate the Fischer information matrix of Husimi distribution in the Fock Bargmann representation. It turns out that the Fisher information of the position and that of the momentum move in opposite directions, and that a weighted trace of the Fisher information matrix is a constant independent of the Husimi distribution. This may be interpreted as a kind of uncertainty relation (in the spirit of Heisenberg uncertainty principle) from the statistical inference point of view.
关键词	Fisher information Husimi distribution Fock Bargmann representation canonical commutation relation uncertainty principle
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000168707700015
出版者	KLUWER ACADEMIC/PLENUM PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16416
专题	应用数学研究所
通讯作者	Luo, SL
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Luo, SL. Fisher information matrix of Husimi distribution[J]. JOURNAL OF STATISTICAL PHYSICS,2001,102(5-6):1417-1428.
APA	Luo, SL.(2001).Fisher information matrix of Husimi distribution.JOURNAL OF STATISTICAL PHYSICS,102(5-6),1417-1428.
MLA	Luo, SL."Fisher information matrix of Husimi distribution".JOURNAL OF STATISTICAL PHYSICS 102.5-6(2001):1417-1428.