基于含时微扰理论的电场中一维线性谐振子跃迁几率研究  

Study on Transition Probability of One Dimensional Linear Harmonic Oscillator in Electric Field Based on Time-dependent Perturbation

作　　者：庞福荣 张澜旭 温莹 张海丰[1] PANG Furong;ZHANG Lanxu;WEN Ying;ZHANG Haifeng(College of Natural Science,Jiamusi University,Jiamusi Heilongjiang 154007,China;College of Mechanical Engineering,Jiamusi University,Jiamusi Heilongjiang 154007,China;College of Pharmacy,Jiamusi University,Jiamusi Heilongjiang 154007,China)

机构地区：[1]佳木斯大学理学院,黑龙江佳木斯154007 [2]佳木斯大学机械工程学院,黑龙江佳木斯154007 [3]佳木斯大学药学院,黑龙江佳木斯154007

出　　处：《佳木斯大学学报（自然科学版）》2022年第3期165-167,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：黑龙江省省属本科高校基本科研业务费科研项目资助(2019-KYYWF-1363);佳木斯大学大学生创新创业训练计划项目(2019xj25)。

摘　　要：通过一阶含时微扰讨论了绝热近似情况的跃迁概率,给出了绝热近似处理成立的条件;分析了恒定弱电场和指数变化电场的一阶跃迁概率。结果表明:对于任意t时刻的平衡点的移动速度ν_(0)的平方远远小于hω/m时采用绝热近似方法;在一阶微扰下,均匀场只能诱导出基态到第一激发态的跃迁。The transition probability of adiabatic approximation is discussed through first-order time-dependent perturbation,and the conditions for the adiabatic approximation are given.The first transition probabilities of constant weak electric field and exponential change electric field are analyzed.The results show that the square of movement speed ν_(0) is far less than hω/m in the equilibrium point.And the uniform field can only induce the transition from the ground state to the first excited state in first order perturbation.

关 键 词：含时微扰 跃迁概率 绝热近似 电场 

分 类 号：O431[机械工程—光学工程]