中国物理B ›› 2005, Vol. 14 ›› Issue (9): 1784-1791.doi: 10.1088/1009-1963/14/9/017

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Conditional stability of diatomic molecule driven by a weak laser field

崇桂书1, 谢琼涛1, 海文华2   

  1. (1)Department of Physics, Hunan Normal University, Changsha, China; (2)Department of Physics, Hunan Normal University, Changsha, China ;Laboratory of Magnetic Resonance and Atomic and Molecular Physics,Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • 收稿日期:2004-12-16 修回日期:2005-01-31 出版日期:2005-09-20 发布日期:2005-09-20
  • 基金资助:
    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).

Conditional stability of diatomic molecule driven by a weak laser field

Chong Gui-Shu (崇桂书)a, Hai Wen-Hua (海文华)ab, Xie Qiong-Tao (谢琼涛)a   

  1. a Department of Physics, Hunan Normal University, Changsha 410081, China; b Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • Received:2004-12-16 Revised:2005-01-31 Online:2005-09-20 Published:2005-09-20
  • Supported by:
    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).

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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.

关键词: conditional stability, Morse oscillator, diatomic molecule

Abstract: 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.

Key words: conditional stability, Morse oscillator, diatomic molecule

中图分类号:  (Diffuse spectra; predissociation, photodissociation)

  • 33.80.Gj
31.15.xp (Perturbation theory)