Influence of Phonon Dispersion,Magnetic Field and Coupling Strength on Properties of Polaron

The relations of the ground state energy with the coefficient of dispersion,strength and magnetic field strength are derived by using linear-combination operator and unitary transformation method.Numerical calculations illustrated that the vibration frequency λ monotonously rises with increasing cyclotron-resonance frequency ω_c;the ground state energy E_0 rises with increasing ω_c and monotonously decreases with increasing α.When phonon dispersion was considered,the E_0 of the weak coupling polaron decreases with increasing the coefficient of phonon dispersion γ,but γ has little effect on the of strong coupling polaron.