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Effective Approach to Constructing n-Mode Wigner Operator in the Entangled State Representation
Authors:Ye-Jun Xu   Hong-Yi Fan  Qiu-Yu Liu
Affiliation:(1) Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China;(2) Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui, 230026, China
Abstract:By extending Fan-Klauder entangled state representation to multipartite case. We construct n-mode Wigner operator in the common eigenvector of the multipartite centre-of-mass coordinate and two mass-weighted relative momenta, and its canonical conjugate state, they are both more complicated entangled state of continuum variables. the technique of integration within an ordered product (IWOP) of operators is essential in our derivation.
Keywords:Wigner operator  Entangled state  IWOP technique
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