中文摘要：

通过精确求解柱形量子点的能量本征方程，得到极化子的基态本征能量以及本征波函数，进而研究了柱形量子点中极化子的性质．数值计算表明：柱形量子点中极化子的声子平均数随着电子-LO声子耦合强度的增大而增大，并且随着柱形量子点半径（或柱高）的增大而减小。

英文摘要：

The eigenenergy and eigenfunction of the ground state of the polaron in cylindrical quantum dot （CQD） can be obtained by precisely solving the Schrodinger equation. Numerical calculations indicate that the mean number of phonon in cylindrical quantum dot increases as the electron-LO-phonon coupling strength increases, and it decreases as the radius or height of the cylindrical quantum dot increases.