New two-mode intermediate momentum-coordinate representation with quantum entanglement and its application  

作　　者：徐世民 徐兴磊 李洪奇 王继锁 

机构地区：[1]Department of Physics,Heze University [2]Key Laboratory of Quantum Communication and Calculation,Heze University [3]Department of Physics,Liaocheng University

出　　处：《Chinese Physics B》2009年第6期2129-2136,共8页中国物理B（英文版）

基　　金：Project supported by the Natural Science Foundation of Heze University of Shandong Province,China (Grant Nos XY07WL01 and XY08WL03);the University Experimental Technology Foundation of Shandong Province,China (Grant No S04W138);the Natural Science Foundation of Shandong Province of China (Grant No Y2008A16);the National Natural Science Foundation of China (Grant No 10574060)

摘　　要：We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product （IWOP） of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new two-mode intermediate momentum-coordinate representation which involves quantum entanglement for a two-particle system is proposed and applied to some twobody dynamic problems. Moreover, the pure-state density matrix ｜ξ1,ξ2｜ C,D C,D（ξ1, ξ2｜ is a Radon transform of Wigner operator.We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product （IWOP） of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new two-mode intermediate momentum-coordinate representation which involves quantum entanglement for a two-particle system is proposed and applied to some twobody dynamic problems. Moreover, the pure-state density matrix ｜ξ1,ξ2｜ C,D C,D（ξ1, ξ2｜ is a Radon transform of Wigner operator.

关 键 词：two-particle system intermediate momentum-coordinate representation IWOP technique 

分 类 号：O431.2[机械工程—光学工程]