量子相空間中分佈函式及其運用

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量子相空間中分佈函式及其運用
 
摘要:簡明介紹量子相空間分佈函式的由來及分佈函式的性質,並比較分佈函式各自存在的優缺點。在與Wigner分佈比較的'基礎上,討論了力學量的Husimi表示及在Husimi表示中力學量的期望值,最後以諧振子為例比較兩種分佈函式。
關鍵詞:相空間;Wigner分佈函式;Husimi分佈函式;標準序與反標準序分佈函式;正則序與反正序分佈函式;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 with harmonic oscillator.
Keywords : Phase-space; Wigner distribution function ;Husimi distribution function; Standard ordering and the Anti-standard ordering distribution function; Nomal ordering and Anti-nomal ordering distribution function ; Expectation value.

量子相空間中分佈函式及其運用

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