单核子在具有八极形变的平均势场中的混沌运动(Ⅲ)初始相干态空时演化中几率密度及扰动强度的研究  

Chaotic Motion of a Nucleon in Mean Field Potential with Octupole Deformation (Ⅲ) Study of Probability Density Distribution in Space-Temporal Variation of Initial Coherent States and the Strength of Disturbance

作　　者：李君清[1,2] 刘芳[1,2] 李希国[1,2] 罗亦孝 

机构地区：[1]兰州重离子加速器国家实验室原子核理论研究中心,兰州730000 [2]中国科学院近代物理研究所,兰州730000

出　　处：《高能物理与核物理》2000年第4期337-341,共5页High Energy Physics and Nuclear Physics

基　　金：国家自然科学基金!(19575057;19775057;19847992);中国科学院重大项目;中国科学院院长特别支持经费资

摘　　要：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．Coherent states of two dimensional asymmetrical harmonic oscillator,which prop- agate in additional octupole deformation potentials, are used to investigate the complexity of the density matrix and the sensitivity against the strength of disturbance. It was found that according to the regular, partly chaotic and overall chaotic characteristics of the phase space of the classical system,its quantum analogy bears out corresponding characters, which were associated with the existence of the negative curvature at the potential surface and the magni- tude of the negative curvature.

关 键 词：形变核 量子混沌 相干态 单核子 势场 

分 类 号：O571[理学—粒子物理与原子核物理]