Abstract: The properties of the magnetopolaron in a semiconductor quantum dot are studied.The ground state energy of the magnetopolaron is derived by using a linear combination operator and the perturbation method.Considering the interaction between phonons of different wave vectors in the recoil process,the influence on the ground state energy of the magnetopolaron is discussed.Numerical calculations show that the ground state energy of magnetopolarons will increase strongly with a decrease in the effective confinement length of the quantum dots and will decrease with increasing magnetic field.For a weak magnetic field,the influence of the interaction between phonons on the ground state energy of the magnetopolarons can not be ignored.

Key words: semiconductor quantum dot,  magnetopolaron,  interaction between phonons, ground state energy