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Chinese Physics Letters

A New Approach for Constructing New Coherent-Entangled State Representations

Ma Shan-Jun, Xue-xiang Xu

Published Sep 1, 2010• 0 citations
Publisher

Abstract

A convenient approach for deriving new quantum mechanical coherent-entangled state representations is proposed to construct the integration of unity in normally ordered Gaussian operator forms and then decomposing it as projection operators. As examples, the n-mode complicated entangled state representations are derived and their application is presented.

DOI
10.1088/0256-307x/27/9/090304

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A convenient approach for deriving new quantum mechanical coherent-entangled state representations is proposed to construct the integration of unity in normally ordered Gaussian operator forms and then decomposing it as projection operators. As examples, the n-mode complicated entangled state representations are derived and their application is presented.
We present a novel method for deriving some new quantum operator formulas by carrying out the integrations within a normal product symbol. The idea underlying this method is combining the properties of normal product and of coherent state together. For example, we can deduce operator ordering theorems, the Fujiwara formula, and some disentangling theorems simply and directly. By means of this method we also get the explicit operator form and coherent state form for the Wigner function with these new forms, the wigner function's eigenstate is found and its zero point value property is discussed. Furthermore some famous quantum unitary transformations and the transformed matrix element for functional obtained conveniently. integral may be also