Abstract: The influence of the electric field on the properties of the bound magnetopolaron in an infinite-depth GaAs semiconductor quantum well is investigated using the linear-combination operator and the unitary transformation method.The relationships between the polaron’s ground state energy and the Coulomb bound potential,electric field,magnetic field,and well-width are derived and discussed.Our numerical results show that the absolute value of the polaron’s ground state energy increases as the electric field and the Coulomb bound potential increase,and decreases as the well-width and the magnetic field strength increase.When the well-width is small,the quantum size effect is significant.

Key words: quantum well, bound magnetopolaron, linear combination operator, ground state energy