Uncertainty relations in the product form

doi:10.1088/1674-1056/27/7/070302

中国物理B ›› 2018, Vol. 27 ›› Issue (7): 70302-070302.doi: 10.1088/1674-1056/27/7/070302

Uncertainty relations in the product form

Xiaofen Huang(黄晓芬), Ting-Gui Zhang(张廷桂), Naihuan Jing(景乃桓)

1 School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China;
2 School of Mathematics, South China University of Technology, Guangzhou 510640, China;
3 Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA

收稿日期:2018-01-22 修回日期:2018-04-23 出版日期:2018-07-05 发布日期:2018-07-05
通讯作者: Ting-Gui Zhang E-mail:tinggui333@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11501153, 11461018, and 11531003) and the Simons Foundation (Grant No. 523868).

Uncertainty relations in the product form

Xiaofen Huang(黄晓芬)¹, Ting-Gui Zhang(张廷桂)¹, Naihuan Jing(景乃桓)^2,3

1 School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China;
2 School of Mathematics, South China University of Technology, Guangzhou 510640, China;
3 Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA

Received:2018-01-22 Revised:2018-04-23 Online:2018-07-05 Published:2018-07-05
Contact: Ting-Gui Zhang E-mail:tinggui333@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11501153, 11461018, and 11531003) and the Simons Foundation (Grant No. 523868).

摘要/Abstract

摘要： We study the uncertainty relation in the product form of variances and obtain some new uncertainty relations with weight, which are shown to be tighter than those derived from the Cauchy-Schwarz inequality.

关键词: uncertainty relation, observables, generalized Cauchy-Schwarz inequality

Abstract: We study the uncertainty relation in the product form of variances and obtain some new uncertainty relations with weight, which are shown to be tighter than those derived from the Cauchy-Schwarz inequality.

Key words: uncertainty relation, observables, generalized Cauchy-Schwarz inequality

中图分类号: (Quantum mechanics)

03.65.-w

黄晓芬, 张廷桂, 景乃桓. Uncertainty relations in the product form[J]. 中国物理B, 2018, 27(7): 70302-070302.

Xiaofen Huang(黄晓芬), Ting-Gui Zhang(张廷桂), Naihuan Jing(景乃桓). Uncertainty relations in the product form[J]. Chin. Phys. B, 2018, 27(7): 70302-070302.

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Uncertainty relations in the product form

Uncertainty relations in the product form

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