Conditional stability of diatomic molecule driven by a weak laser field  

作　　者：崇桂书 海文华 谢琼涛 

机构地区：[1]Department of Physics, Hunan Normal University, Changsha 410081, China [2]Laboratory of Magnetic Resonance and Atomic and Molecular Physics,Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

出　　处：《Chinese Physics B》2005年第9期1784-1791,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant No 10275023）, and by the Science Foundation of the Laboratory of Magnetic Resonance and Atomic and Molecular Physics of China （Grant No T152504）.

摘　　要：Using a direct perturbation method, we investigate the stability of a diatomic molecule modelled by a weakly laser-driven Morse oscillator. It is shown that stationary state solution of the system is stable in the sense of Lyapunov and the periodical one possesses conditional stability, namely its stability depends on the initial conditions and system parameters. The corresponding sufficient and necessary conditions are established that indicate the stable states associated with some discrete energies. The results reveal how a diatomic molecule can be stabilized or dissociated with a weak laser, and demonstrate that the mathematical conditional stability works in the considered physical system.Using a direct perturbation method, we investigate the stability of a diatomic molecule modelled by a weakly laser-driven Morse oscillator. It is shown that stationary state solution of the system is stable in the sense of Lyapunov and the periodical one possesses conditional stability, namely its stability depends on the initial conditions and system parameters. The corresponding sufficient and necessary conditions are established that indicate the stable states associated with some discrete energies. The results reveal how a diatomic molecule can be stabilized or dissociated with a weak laser, and demonstrate that the mathematical conditional stability works in the considered physical system.

关 键 词：conditional stability Morse oscillator diatomic molecule 

分 类 号：TN752[电子电信—电路与系统]