SU(2)对称破缺下的氰化氘分子的混沌运动

Chaotic Motion in DCN With Broken SU(2) Symmetry

用SU(2 )陪集表象来表示氰化氘分子 (DCN)两个耦合的伸缩振动模式 ,在混沌运动研究中 ,这是一个最简单的SU (2 )对称被破坏的模型。研究表明 ,当振动能量小于 1 2 5 0 2cm- 1 时 ,体系呈现规则运动 ;能量处于 1 2 5 0 2cm- 1 和 1 82 4 6cm- 1 之间 ,规则和混沌运动并存 ;能量高于 1 82 4 6cm- 1 时 ,体系呈现完全的混沌运动。同时 ,在庞加莱截面上观察到了周期 3轨道 ,由Sarkovskii定理 ,这意味着混沌的出现。另外还表明 ,D

The algorithm of two coupled SU(2) cosets is applied to the coupled two stretching modes of DCN. This is a simplest prototype with broken SU(2) symmetry for the chaotic study of molecular vibration. The analysis shows that for the vibrational energy less than 12502 cm -1 , the motion is regular. In between 12502 cm -1 and 18246 cm -1 , regular and chaotic motions coexist. For even higher excitation, the motion is overall chaotic. Notably, trajectories of period 3 on the Poincare surfaces of section are observed. This implies chaos according to Sarkovskii theorem. It is also demonstrated that the excitation of D-C is crucial for the occurrence of chaos, instead that of C-N.