Heisenberg和Schrdinger不确定关系中的不等式

Inequalities in the Heisenberg and Schrdinger Uncertainty Relations

本文通过C~*-代数上的保迹正线性映射,引入广义对称方差和广义对称相关系数的概念.证明了几个与Heisenberg和Schrdinger不确定关系相关的不等式,推广了已有的结论[J.Math.Phys.,2013,54(10):103508]和[J.Math.Anal.Appl.2017,447(1):666-680].

In this paper, we introduce the concepts of generalized symmetrized covariance and generalized symmetrized correlation via tracial positive linear map in C^＊-algebras. Several inequalities related to the Heisenberg and SchrSdinger uncertainty relations are shown, which generalizes the known results [J. Math. Phys., 2013, 54（10）： 103508] and [J. Math. Anal. Appl., 2017, 447（1）： 666-680].