自旋-1角动量分量的不确定关系

吉林大学学报(理学版) ›› 2021, Vol. 59 ›› Issue (4): 961-964.

自旋-1角动量分量的不确定关系

南华, 玄东平, 胡晓会

延边大学理学院数学系, 吉林延吉 133002

收稿日期:2021-01-25 出版日期:2021-07-26 发布日期:2021-07-26
通讯作者: 南华 E-mail:nanhua@ybu.edu.cn

Uncertainty Relations of Angular Momentum Components for Spin -1

NAN Hua, XUAN Dongping, HU Xiaohui

Department of Mathematics, College of Sciences, Yanbian University, Yanji 133002, Jilin Province, China

Received:2021-01-25 Online:2021-07-26 Published:2021-07-26

摘要/Abstract

摘要： 为研究自旋-1角动量三个分量的不确定关系, 用Heisenberg-Robertson不确定关系不等式, 建立三个分量的乘积形式及和式的不确定关系. 结果表明: 通过引入
三方常数τ, 使不等式变为紧的; 在紧的不确定关系中引入的参数与自旋-1/2时的参数相同.

关键词: 不确定关系, 角动量, 标准差

Abstract: In order to study the uncertainty relations for triple components of angular momentum for spin -1, the uncertainty relations of product and sum of three components were established by using Heisenberg-Robertson uncertainty relation inequality. The results show that the inequality becomes tight by introducing a triple constant τ, and the triple constant in the tight inequality is the same in the case for spin -1/2.

Key words: uncertainty relation, angular momentum, standard deviation

中图分类号:

O413.1

南华, 玄东平, 胡晓会. 自旋-1角动量分量的不确定关系[J]. 吉林大学学报(理学版), 2021, 59(4): 961-964.

NAN Hua, XUAN Dongping, HU Xiaohui. Uncertainty Relations of Angular Momentum Components for Spin -1[J]. Journal of Jilin University Science Edition, 2021, 59(4): 961-964.