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Complex-Variable Fokker-Planck Equation Solved in Entangled State Representation

Complex-Variable Fokker-Planck Equation Solved in Entangled State Representation
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摘要 We find that the Fokker-Planck equation in complex variables can be conveniently solved in the context of bipartite entangled state representation and its relationship with SU(2) Lie algebraic generators' new realization {(1/4)[(Q_1-Q_2)~2+(P_1+P_2)~2], (1/4)[(Q_1+Q_2)~2+(P_1-P_2)~2], and-(i/2)(Q_1P_2+Q_2P^1)}, the quadratic combination of canonical operators. We lind that the Fokker-Planck equation in complex variables can be conveniently solved in the context of bipartite entangled state representation and its relationship with SU(2) Lie algebraic generators' new realization {(1/4)[(Q1 - Q2)^2 + (P1+ P2)^2], (1/4)[(Q1 +Q2)^2+ (P1 - P2)^2], and -(i/2)(Q1P2 + Q2P1)}, the quadratic combination of canonical operators.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第6期1049-1052,共4页 理论物理通讯(英文版)
基金 Supported by National Natural Science Foundation of China under Grant No.10874174 PHD Guiding Foundation of Chinese Education Ministry
关键词 纠缠态表象 K方程 发电机 经营者 内解 Fokker Planck equation, entangled state representation, SU(2) Lie algebra
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