无限深势阱中受击原子的能谱  

The spectrum for a kicked particle in an infinite potential well

作　　者：崇桂书[1] 海文华[1] 

机构地区：[1]湖南师范大学物理系,中国长沙410081

出　　处：《原子与分子物理学报》2001年第4期426-430,共5页Journal of Atomic and Molecular Physics

基　　金：国家自然科学基金 (批准号 198740 19);波谱与原子分子物理国家重点实验室开放基金 (编号 715 2 10 3)资助课题

摘　　要：研究了一维量子阱中受脉冲驻波场作用的原子的量子运动。利用直接微扰法 ,给出了该系统的一级近似波函数及能谱随时间的演化规律。通过理论分析和数值计算 ,得出系统共振的条件 ,当系统的外加驱动频率ΩD 与未受微扰时系统的能级跃迁频率ΩT 不遵循此条件时 ,系统能量的时间演化情形类似于一般KAM系统中所发现的经典混沌的量子抑制。而当ΩD 与ΩT 满足此要求时 。This work studyes a periodically kicked particle inside a infinite potential well, which is a non KAM system. This model is solved by applying the direct perturbation method. The time evolution of spectrum and the first order approximate wave function for the system are presented. Through theoretical analyses and numerical calculations we obtain the resonant condition for the system. If the external driving frquency Ω D and the frequencies for the transition between neighboring unperturbed states Ω T dont satisfy this condition, we find that the time evolution of spectrum is similar to 'the quantum suppression of classical chaos' in KAM system. Otherwise, the quantum resonant behaviors are found when Ω T and Ω D are satified with the condition.

关 键 词：直接微扰法 量子抑制 量子共振 原子 量子阱 量子混沌 量子光学 能谱 

分 类 号：O562.1[理学—原子与分子物理] O431.2[理学—物理]