“…We have to stress that the agreement between the results obtained via the two methods was perfect. Then, the first-order linear, third-order nonlinear, and total absorption coefficients (ACs) for the transitions between the ground and first excited states of electron confined within DMQW by following the standard density matrix formalism combined with the perturbation expansion method are obtained, respectively, as follows [9], [19], [20], [21], [31], [32], [33], [34]βfalse(1false)false(Epfalse)badbreakafter=Epħ0.2emμ0εR0.2emfalse|M12false|20.2emσv0.2emnormalΩ12false(E12badbreakafter−Epfalse)2badbreakafter+normalΩ1220.2em,βfalse(3false)false(Ep,Ifalse)badbreakafter=badbreakafter−0.2em20.2emI0.2emβfalse(1false)false(Epfalse)ε00.2emn…”