In the second quantization method we introduce the creation-annihilstion operator b_qsm^1/2,1/2,l，which is triple tensor of rank(1/2，1/2，1) for Q (quasispin)，S (spin)，L (orbit angular-momentum)，and a triple scalar operatorv (k₁,k₂,k₃) ie constructed by coupling of triple tensor，Y (k₁,k₂,k₃)= ((bb)^{k₁,k₂,k₃}(bb)^{k₁,k₂,k₃})⁰⁰⁰, the Y (k₁,k₂,k₃) commutates with Q，S and L，then it can be used to further ciassify the coupled states. By appropriate combining Y(k₁,k₂,k₃) with Q²,S²,L²,the set of operators which can clessify completely f-shell is obtained，and the set of operators which can classify in agreement with those of Recah is also obtained.