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谐振子算符的代数运算方法被用于研究磁场中同时与表面光学声子及表面声学声子相互作用的二维电子。得到二维极化子在强磁场中直至四级微扰的基态能量以及它在任意强经磁场中的二级微扰基态能量表达式。结果发现,对磁场中二维极化子基态能量的影响中,表面声学声子有着与表面光学声子同样的甚至更为突出的贡献,是不容忽视的。The method of the harmonic oscillator operator algebra has been used to study the two-dimensional polaron in a magnetic field. Both the surface optical phonon and the surface acoustic phonon, and their interaction with the magnetic field are included. Ground-state energy corrections up to fourth-order perturbation for limiting cases of strdng field and that in second-order perturbation for field of arbitrary strength are derived. It is found that the surface acoustic phonon makes a significant contribution to ground-state energy of a two-dimensional polaron in magnetic field.
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