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理论物理通讯：英文版

On Fermionic Entangled State Representation and Fermionic Entangled Wigner Operator

Fan, Hong-Yi, Wang, Ji-Suo

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

由有 bosonic 的类比我们构造的由两部组成的纠缠的状态有 Grassmann 的 fermionicentangled 状态数。在 fermionic 的 Wigner 操作员纠缠了州的表示被介绍，其边缘的分布以一个纠缠的方法被理解。在费密操作员的一个订的产品(IWOP ) 以内的集成的 Thetechnique 在我们的讨论被使用。

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由有 bosonic 的类比我们构造的由两部组成的纠缠的状态有 Grassmann 的 fermionicentangled 状态数。在 fermionic 的 Wigner 操作员纠缠了州的表示被介绍，其边缘的分布以一个纠缠的方法被理解。在费密操作员的一个订的产品(IWOP ) 以内的集成的 Thetechnique 在我们的讨论被使用。
|的特徵向量集合( x ， r 1 ， r 2 )与三个兼容操作员( x^1+x^2+x^3\hat x_1 + \hat x_2 + \hat x_3x^1​+x^2​+x^3​， p^2+p^3−2p^1\hat p_2 + \hat p_3 - 2 \hat p_1p^​2​+p^​3​−2p^​1​和 p^3−p^2\hat p_3 - \hat p_2p^​3​−p^​2​)被 Wigner 操作员和集成的技术的氡转变的优点在操作员的一个订的产品( IWOP )以内构造。它的纠纷性质然后被导出它的标准 Schmidt 分解揭示。|(x， r 1， r 2 ) 完成新量机械表示。一个新三模式的压榨操作员被使用这个纠缠的州的代表发现。
In the path integral representation of quantum amplitudes ( chapter 16 ) the fields are regarded as classical functions. Matrix elements of time-ordered products of bosonic operators could be satisfactorily represented (see the discussion following ( 16.79 )). But something new is needed to represent, for example, the time-ordered product of two fermionic operators: there must be a sign difference between the two orderings, since the fermionic operators anticommute . Thus it seems that to represent amplitudes involving fermionic operators by path integrals we must think in terms of ‘classical’ anticommuting variables.