A theory of charged particle-phonon interaction in dielectric bilayer systems has been developed by Wendler and Pan Jinsheng.In these papers the interaction between charged particles and phonons in a quantum well is taken into consideration.A calculation is given for the binding energy of the ground state of the charged particles in GaAs-Ga1-xAlxAs quantum well by use of perturbation method.The variation of the binding energy of the charged particle with the well width are discussed.It is shown that the interaction between the charged particles and phonons must be taken into account in quantum well.