中文摘要：

我们学习二维的弱联合的 Fr ? 在在一个垂直磁场的一个完全各向异性的量点的 hlich 极化子。由执行单一的转变，我们首先把 Hamiltonian 转变成描述一个各向异性的泛音振荡器，新集体、套住的频率与一样的声子洗澡，但是与不同相互作用形式和力量交往的新的。然后采用秒顺序 Rayleigh-Schr ? dinger 不安理论，我们获得极化子修正到地面状态精力。到地面状态精力的极化子修正上的磁场和各向异性的效果被讨论。

英文摘要：

We study the two-dimensional weak-coupling Frohlich polaron in a completely anisotropic quantum dot in a perpendicular magnetic field. By performing a unitary transformation, we first transform the Hamiltonian into a new one which describes an anisotropic harmonic oscillator with new mass and trapping frequencies interacting with the same phonon bath but with different interaction form and strength. Then employing the second-order Rayleigh–Schrodinger perturbation theory, we obtain the polaron correction to the ground-state energy. The magnetic field and anisotropic effects on the polaron correction to the ground-state energy are discussed.