原子与分子物理学报2009，Vol.26Issue(3)：413-419,7.DOI:103969/j.issn.1000-0364.2009.03.005
一般幂指数中心势作用下的波包回归和部分回归
Wave packet revivals and fractional revivals in the general power law central potential
摘要
Abstract
Using the WKB approximation and the autocorrelation function approach, we study the wave packet revival and fractional revival in the general power law central potential V(r)=γrk (-2<k<0, k>0). For the repulsive potential ( γ>0, k>0), the potential is a long-ranged one. There is only one quantized number in its quantized energy and the structures of its wave packet revivals are similar to the case of the one-dimensional power-law potential. These results show that systems with identical energy level structures exhibit similar wave packet revival patterns. As for the attractive potential, there are two quantum numbers in the energy, therefore, for different values of k, the structures of the wave packet revivals are not nearly the same. For the special case of the Coulomb attractive potential, the revivals and fractional revivals of the wave packet appear. While for other values of k, the wave packet collapses after a period of time. The study in this paper offers a new method to investigate the classical limit of the motion of electrons in Rydberg atoms or molecules.关键词
波包/回归/WkB近似Key words
wave packet/revival/WkB approximation分类
数理科学引用本文复制引用
王德华,于永江,徐强,柳盛典..一般幂指数中心势作用下的波包回归和部分回归[J].原子与分子物理学报,2009,26(3):413-419,7.基金项目
国家自然科学基金(10604045) （10604045）
鲁东大学研究生优质课《高等量子力学》 （）
