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
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
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.
Received: 16 December 2004
Revised: 31 January 2005
Accepted manuscript online:
Fund: 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).
Cite this article:
Chong Gui-Shu (崇桂书), Hai Wen-Hua (海文华), Xie Qiong-Tao (谢琼涛) Conditional stability of diatomic molecule driven by a weak laser field 2005 Chinese Physics 14 1784
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