单粒子在非轴对称八极形变势场中的混沌运动

针对单粒子处在长椭球谐振子势加上Y₃₂+Y_3－2形变势场中的情况, 从经典和量子两个角度分析了粒子在非轴对称八极形变势场中的混沌运动. 通过经典的轨道稳定性分析, 指出了系统等势能面性质对粒子运动特点的重要性. 又通过对体系存在的能级免交叉现象, 三维不对称谐振子相干态在势场中的演化特征的研究, 具体地说明了八级形变势的非轴对称性使单粒子更容易出现混沌运动.

Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation

The single particle's chaotic motion in the potential of a prolate harmonic oscillator plus Y32 Y3-2 non-axial octupole deformation was systematically analyzed from the classical and quantum-mechanical viewpoint. The classical trajectory stability analysis showed that the characteristics of the potential surface would be important for the particle's motion. By investigating the phenomena of avoided level crossing in the system and the evolution of the coherent initial state, it is found that the non-axial feature of octupole deformation potential can make the single particle to go to chaos easier.