量子相位算符的不确定关系及其演化方程

The Uncertainty Relation of Quantum Phase Operator and the Time evolved Equation

摘要:

量子相位算符已经被很多科学院所研究，其定义也有多种多样，其中最具代表性的是Ｓｕｓｓｋｉｎｄ，Ｇｌｏｇｏｗｅｒ定义的相位算符以及Ｐｅｇｇ，Ｂａｒｎｅｔｔ定义的相位算符，本文从不确定关系角度出发，证明在不确定关系上，前者将优于后者。进一步地研究发现：二者的随时间演化的方程具有相同的形式。

Abstract:

In the past,the quantum phase operators had been studied by many authors.Representatively,there are two kinds of phase operators:one is defined by L.Susskind and J.Glogower,another defined by D.T.Pegg and S.M.Barnett.Despite the phase operator defined by Pegg and Barnett has many advantages over the latter,but in this paper we will show that the former is better in the uncertainty degree than the latter,and for both phase operators,we will find they have the same evoluation expression with time.