中文摘要：

采用分维变分方法讨论了有限深抛物量子阱中束缚极化子的束缚能，得到了束缚能随阱宽的变化关系，并给出了声子对束缚能的贡献随阱宽的变化曲线．数值计算的结果表明，束缚极化子的束缚能随阱宽的增大存在一极大值，电子-声子的相互作用使束缚极化子的束缚能显著降低，声子的贡献不可忽略．

英文摘要：

The binding energy of a bound polaron in a finite parabolic quantum well is studied theoretically by a fractional- dimensional variational method. The numerical results for the binding energies of the bound polaron and longitudinal-optical phonon contributions in GaAs/Al0.3 Ga0.7 AS parabolic quantum well structures are obtained as functions of the well width. It is shown that the binding energies of the bound polaron are obviously reduced by the electron-phonon interaction and the phonon contribution is observable and cannot be neglected.