Fisher information matrix of Husimi distribution

被引：8

作者：

Luo, SL ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China

来源：

JOURNAL OF STATISTICAL PHYSICS | 2001年 / 102卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

Fisher information; Husimi distribution; Fock Bargmann representation; canonical commutation relation; uncertainty principle;

D O I：

10.1023/A:1004856832310

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页码：1417 / 1428

页数：12

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