Uncertainty relations in the product form

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

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.

Keywords: uncertainty relation observables generalized Cauchy-Schwarz inequality

Received: 22 January 2018
Revised: 23 April 2018
Accepted manuscript online:

PACS:

03.65.-w

(Quantum mechanics)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11501153, 11461018, and 11531003) and the Simons Foundation (Grant No. 523868).

Corresponding Authors: Ting-Gui Zhang
E-mail: tinggui333@163.com

Cite this article:

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

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