量子相空間中分布函數(shù)及其運用
量子相空間中分布函數(shù)及其運用
摘要：簡明介紹量子相空間分布函數(shù)的由來及分布函數(shù)的性質(zhì)，并比較分布函數(shù)各自存在的優(yōu)缺點。在與Wigner分布比較的'基礎(chǔ)上，討論了力學(xué)量的Husimi表示及在Husimi表示中力學(xué)量的期望值，最后以諧振子為例比較兩種分布函數(shù)。
關(guān)鍵詞：相空間;Wigner分布函數(shù);Husimi分布函數(shù);標(biāo)準(zhǔn)序與反標(biāo)準(zhǔn)序分布函數(shù);正則序與反正序分布函數(shù);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.
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