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理论物理通讯：英文版

New Application of Weyl Correspondence in Studying Husimi Operator

Fan, Hong-Yi, Guo -, Qin, Ma, Shan-Jun

Published Jan 1, 2008• 0 citations
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Abstract

(q,p;κ)=| p， q； κ p， q； κ|| p， q；κ 是挤压的协调状态的一种新类型。纠缠的 Husimi 操作员也这样被对待。因此，发现 Husimi 操作员的一个简单方法被介绍。

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In this paper, the so-called Husimi operator Δ h ( q , p ; κ), which is introduced by smoothing out the Wigner operator Δ w ( q , p ) by averaging over the "coarse graining" function exp[-κ( q '- q ) 2 - ( p ' - p ) 2 /κ], is now regarded as a Weyl correspondence connecting the Husimi operator Δ h ( q , p ; κ) with its classical correspondence, since the integration kernel is just the Wigner operator. In this way we can easily identify | p , q ;κ⟩ such that Δ h ( q , p ;κ) = | p , q ;κ⟩ ⟨ p , q ;κ|, where | p , q ; κ⟩ is a new kind of squeezed coherent states. The entangled Husimi operator is also treated in this way. Thus a simple way to find the Husimi operator is presented.