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采用线性组合算符和幺正变换方法,研究了半导体量子阱中强耦合磁极化子的性质。推导出了无限深量子阱中强耦合磁极化子的振动频率、基态能量和自陷能随回旋共振频率及阱宽的变化关系。以RbCl量子阱进行数值计算,结果表明:当阱宽一定时,强耦合磁极化子振动频率、基态能量和自陷能随回旋共振频率的增大而增大;当回旋共振频率确定时,磁极化子振动频率和自陷能随阱宽的增加而增大,最后趋向于三维结果,而磁极化子的基态能量则随阱宽的增加而减小,且在阱宽取相对较小值时,表现出奇特的量子尺寸效应。
The properties of the strongly coupled magnetopolaron in a semiconductor quantum well are studied by linear combination operator and unitary transformation. The vibrational frequencies, ground-state energies and self-trapping energies of strong-coupled magnetopolarials in an infinite infinite number of quantum wells are deduced as a function of cyclotron resonance frequency and well width. The results show that when the well width is constant, the vibration frequency, the ground state energy and the self-trapping energy of the strong-coupling magnetopolaron increase with the increase of the cyclotron resonance frequency. When the gyro resonance frequency is determined, the magnetic pole The vibrational frequency and the self-trapping energy increase with the increase of the well width, and finally tend to the three-dimensional result. The ground state energy of the magnetic polaron decreases with the increase of the well width. When the well width is relatively small , Showing a peculiar quantum size effect.