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自旋-1角动量分量的不确定关系
引用本文: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. DOI: 10.13413/j.cnki.jdxblxb.2021043
作者姓名:南华  玄东平  胡晓会
作者单位:延边大学 理学院数学系, 吉林 延吉 133002
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
收稿时间:2021-01-25

Uncertainty Relations of Angular Momentum Components for Spin -1
NAN Hua,XUAN Dongping,HU Xiaohui. Uncertainty Relations of Angular Momentum Components for Spin -1[J]. Journal of Jilin University: Sci Ed, 2021, 59(4): 961-964. DOI: 10.13413/j.cnki.jdxblxb.2021043
Authors:NAN Hua  XUAN Dongping  HU Xiaohui
Affiliation:Department of Mathematics, College of Sciences, Yanbian University, Yanji 133002, Jilin Province, China
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.
Keywords:uncertainty relation  angular momentum  standard deviation  
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