量子点中极化子性质:压缩态变分法

利用单模压缩态变分法得到了在电子-体纵光学声子全耦合条件下抛物量子点极化子的基态能量及电子周围平均声子数的表达式。所采用的变分方法是基于逐次正则变换的变分方法，变换处理了包含经常被忽略的声子产生湮灭算符的双线性项。在电子-体纵光学声子全耦合条件下，讨论了受限长度与抛物量子点极化子的基态能量及电子周围平均声子数之间的依赖关系。

Properties of a polaron in a quantum dot: a squeezed-state variational approach

The ground-state energy and the average number of virtual phonons around the electron in a parabolic quantum dot for the entire range of the electron-phonon coupling constant are obtained using the single-mode squeezed-state variational approach. The variational approach we applied is based on two successive canonical transformations and using a displaced-oscillator type unitary transformation to deal with the bilinear terms which are usually neglected. In order to study the relationship between the ground-state energy and the average number of virtual phonons around the electron of a polaron in a parabolic quantum dot with the electron-LO-phonon coupling constant and the confinement length, numerical calculations are carried out in the electron-LO-phonon strong- and weak-coupling regions.