采用变分法，研究了柱形量子线中磁极化子在基态和激发态的系统能量，电子－表面声子相互作用能以及回旋共振频率．选用抛物型束缚势，在精确求解未微扰电子的波动方程的基础上，给出了系统的试探波函数．数值计算结果表明，随着量子线半径的增大，基态和激发态的电子－表面声子相互作用能都相应减小，回旋共振频率也随之减小．该结果对以前的研究结果有所改进 The variational method was used to study the system energy, the electron-surface phonon interaction energy and the resonance frequency of the magnetopolaron in the ground and excited states of the cylindrical quantum wire. The parabolic bondage is chosen. Based on the exact solution of the wave equation of the unperturbed electron, the experimental wave function of the system is given. The numerical results show that as the quantum wire radius increases, the electron-surface phonon interactions in the ground state and the excited state decrease correspondingly, and the cyclotron resonance frequency decreases. The results of the previous study results improved