Articles you may be interested inThe effects of optical phonon on the binding energy of bound polaron in a wurtzite ZnO/Mg x Zn1− x O quantum wellThe effect of a spatially dependent effective mass on hydrogenic impurity binding energy in a finite parabolic quantum well with a magnetic field Electric field effects on the states of a donor impurity in rectangular cross-section vacuum/GaAs/vacuum quantum-well wiresWe study the ground state binding energy of a hydrogenic impurity subjected to an external strong magnetic field taking into account the interaction of the electron with confined longitudinal optical phonon in GaAs/Ga 1Ϫx Al x As quantum wells. Calculations are performed within the effective mass approximation using the Lee-Low-Pines ͓Phys. Rev. 90, 297 ͑1953͔͒ variational method and considering the infinite and finite character of the barrier potential. The binding energy is calculated as a function of the magnetic field and the well size. The results we have obtained show that the binding energies are very sensitive to the combined effect of the well size, the strong applied magnetic field, and the electron-phonon interaction.