We find that the Fokker–Planck equation in complex variables can he 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.