New Method to Deal with Three-Dimensional Electron Gas with a Strong Correlation Effect

Similar to the bosonization method in one dimension, we divide the electron operators in phase space into two component operators, and study three-dimensional homogeneous electron gas with a strong correlation effect. We apply this method to calculate the pair distribution function g(r=0,r_s) and the renormalization coefficient of the one-electron Green's function Z(k_F)(Z_F), and show that it has great advantages of succinctness and efficiency for studying one- and three-dimensional systems with a strong correlation effect. This method can be applied to investigate interaction quenches in ultracold atomic gases.