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

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.