摘要
利用微分-积分技巧和算符微商方法研究Wigner算符和Weyl对应规则,给出了Wigner算符的正规序形式,得到了一些特殊函数的新的微分形式.更有意义的是克服了积分发散的困难,给出了Wigner算符和Weyl对应规则的反正规序微分型表示式.最后给出几个计算实例.
Wigner operator and Weyl prescription are studied by virtue of the skill of differential-integral and the method of operators＇ differential quotient. The differential formula of Wigner operator in normal ordering is given, and new differential formulae of some special functions are obtained. It is more important that the integral divergent difficulty is smoothed away and the differential formula of Wigner operator and the Weyl prescription in anti-normal ordering are derived. Several examples are calculated.
出处
《大学物理》
北大核心
2016年第2期5-10,共6页
College Physics
关键词
有序算符
Wigner算符
算符微商
积分发散
ordered operator
Wigner operator
differential quotient of operators
integral divergence
