量子相空间中分布函数及其运用

量子相空间中分布函数及其运用

摘要：简明介绍量子相空间分布函数的由来及分布函数的性质，并比较分布函数各自存在的优缺点。在与Wigner分布比较的基础上，讨论了力学量的Husimi表示及在Husimi表示中力学量的期望值，最后以谐振子为例比较两种分布函数。

关键词：相空间;Wigner分布函数;Husimi分布函数;标准序与反标准序分布函数;正则序与反正序分布函数;期望值

Quantum phase-space distribution functions and their application

Abstract: In this paper we introduce some distribution function and their properties, and then contrast them in phase space. We discusses the Husimi function of mechanics operator and its expectation value compared with Wigner function. Lastly, we contrast these two distribution function wiภth harmonic oscillator.

Keywords : Phase-space; Wigner distribution function ;Husimi ❦distributioღn function; Standard ordering and the Anti-standard ordering di♡stribution function; Nomal orderingน and Anti-nomal ordering distribution function ; Expectation value.

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