$|\Psi ⟩={\sum }_{i_1,i_2,{\alpha }_1,{\alpha }_2}{\Gamma }_{{\alpha }_1}^{\left[1\right]i_1}{\lambda }_{{\alpha }_1}^{\left[1\right]}{\Gamma }_{{\alpha }_1{\alpha }_2}^{\left[2\right]i_2}{\lambda }_{{\alpha }_2}^{\left[2\right]}|i_1{i}_2⟩|{\Phi }_{{\alpha }_2}^{\left[3..N\right]}⟩$