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运用在二维不对称谐振子势加八极形变势中传播的二维不对称谐振子相 干态,研究了不同强度耦合作用下密度矩阵的复杂性及对干扰动强度微小变动 的敏感性。发现相应于对应经典系统作规则、部分混沌、及整体混沌运动的相空 间区域,量子系统有对应的特征性的表现,它们与势能面上负曲率的存在及负 曲率的大小有关系.
Using the two-dimensional asymmetric oscillator coherent state propagating in the two-dimensional asymmetric harmonic oscillator potential plus octupole variation, the complexity of the density matrix and the sensitivity to the small variation of the disturbance intensity under different strength coupling are studied. It is found that the quantum systems have corresponding characteristic features corresponding to the corresponding classical system as the rules, partial chaos, and the whole chaotic motion. They are related to the existence of the negative curvature on the potential energy surface and the size of the negative curvature.