关于修正的一维分子晶体模型的孤子激发  

An improved soliton excitation in the one-dimensional molecular-crystal model

作　　者：李琴兰[1] 陈浩[1] 

机构地区：[1]华南师范大学物理与电信工程学院,广州510006

出　　处：《原子与分子物理学报》2015年第1期139-143,共5页Journal of Atomic and Molecular Physics

基　　金：国家自然科学基金(10874049)

摘　　要：从立方型相互作用的一维分子晶体模型出发,在加入本征值平方项的近似下,运用能量极小原理和连续化近似,得到了考虑本征值平方项和立方型相互作用后一维分子晶体模型的孤子激发的修正解.在忽略了立方型相互作用和本征值平方项的近似下,孤子激发的修正解回复于通常的极化子解.并计算了孤子激发的峰宽、峰值和电子自陷势阱,分析了本征值平方项和立方型相互作用对孤子激发的峰值、峰宽和电子自陷势阱的影响.In this paper, an improved solution for soliton excitation in the one-dimensional molecular-crystal model with the cubic interaction term and the eigenvalue＇ s square term is found, which is from one-dimensional molecular-crystal model with the cubic interaction term, considering the approximation of eigenvalue＇ s square term, by means of energy minimum principle and continuous approximation. Under the approximation neglecting the cubic interaction term and the eigenvalue＇ s square term, the improved solution tends to the usual polaron so- lution. The width and peak of soliton excitation and the self-trapped potential well of the electron are also calculated, the influences of cubic interaction term and eigenvalue＇ s square term on the width and peak of soliton excitation and the self-trapped potential well of the electron are analyzed.

关 键 词：分子晶体模型 孤子激发 极化子 

分 类 号：O483.1[理学—固体物理]