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理论物理通讯：英文版

Recapitulating Quantum Phase Space Representation by Virtue of Normally Ordered Gaussian Form of Wigner Operator

范洪义, 徐兴磊, 李洪奇

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

用 Wigner 操作符的通常订的 Gaussian 形式，我们概括量阶段空格表示，我们为寻找量的古典通讯导出一个新公式机械操作符；我们也看那是否在那里存在特徵向量 | q 坐标和动量操作员的线性联合，(Q + P ) ，实数，和 | q 是完全的，然后投影机 | qq |一定是 Wigner 操作员的氡变换。这条途径似乎简明、物理呼吁。

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用 Wigner 操作符的通常订的 Gaussian 形式，我们概括量阶段空格表示，我们为寻找量的古典通讯导出一个新公式机械操作符；我们也看那是否在那里存在特徵向量 | q 坐标和动量操作员的线性联合，(Q + P ) ，实数，和 | q 是完全的，然后投影机 | qq |一定是 Wigner 操作员的氡变换。这条途径似乎简明、物理呼吁。
Using the normally ordered Gaussian form of the Wigner operator we recapitulate the quantum phase space representation, we derive a new formula for searching for the classical correspondence of quantum mechanical operators; we also show that if there exists the eigenvector |q⟩ λ,ν of linear combination of the coordinate and momentum operator, (λQ + νP), where λ, ν are real numbers, and |q⟩ λν is complete, then the projector |q⟩ λν ⟨q| must be the Radon transform of Wigner operator. This approach seems concise and physical appealing.