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运用变分法系统地研究了外磁场下极化子的电声子耦合作用，其中具体考虑了电子和表面光学声子（ＳＯ）的强耦合作用以及与体纵光学声子（ＬＯ）的弱耦合作用，应用Ｈｕｙｂｒｅｔｃｈ提出的变分方法和二次么正变换，给出了电子－声子相互作用能．数值结果表明：随着电子和晶体表面距离的增加，电子－表面光学声子相互作用能的数值减小，而电子－体纵光学声子相互作用能的数值增大；磁场增强，电子与两种声子之间的相互作用均增强
Using the variational method, we study systematically the electro-phonon coupling effect of polarons under the external magnetic field. The coupling between electron and surface optical phonon (SO) and weak coupling with the longitudinal optical phonon (LO) Coupling effect, the application of Huybretch proposed variational method and quadratic quadratic transform, gives the electron - phonon interaction energy. The numerical results show that with the increase of the distance between the surface of the electron and the crystal, the numerical value of the electron-surface optical phonon interaction energy decreases and the numerical value of the electron-body longitudinal optical phonon interaction energy increases; the magnetic field increases, Phonon interactions are enhanced