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在声子色散影响下利用压缩态变分法计算了抛物量子点中弱耦合极化子的基态能量。采用的变分方法是基于逐次正则并且利用单模压缩态变换处理通常被我们所忽略的在第一次幺正变换中产生的声子产生湮灭算符的双线性项。计算得出了在考虑声子色散的情况下抛物量子点中弱耦合极化子的基态能量的数学表达式。讨论了抛物量子点中在电子-声子弱耦合情况下,受限长度,电子-声子耦合常数,色散系数与极化子基态能量之间的依赖关系。
Under the influence of phonon dispersion, the ground state energy of the weakly coupled polaron in a parabolic quantum dot is calculated by the squeezed-state variational method. The variational approach adopted is based on successive normalizations and deals with the bilinear term of the annihilation operator for the phonon generated in the first unitary transformation, which is generally neglected by us, using the unimodal compression-state transformation. The mathematical expression of the ground-state energy of the weakly coupled polaron in a parabolic quantum dot is calculated with the phonon dispersion considered. The dependence of the confinement length, the electron - phonon coupling constant, the dispersion coefficient and the ground state energies of the polarons in parabolic quantum dots under electron - phonon weak coupling is discussed.