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

JIN Hua; ZHENG Ren-Rong; ZHU Shun-Quan; LI Jun-Qing

Chinese Physics C> 2006, Vol. 30> Issue(2) : 134-139

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

Department of Physics, Shanghai Normal University, Shanghai 200234, China2 Department of Arts and Science, Shanghai Dianji University, Shanghai 200240, China3 Department of Computer and Electric Technology, Shanghai Business School, Shanghai 201400, China4 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

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Abstract：
The single particle's chaotic motion in the potential of a prolate harmonic oscillator plus Y₃₂+Y_3－2 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.

References

[1]

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JIN Hua, ZHENG Ren-Rong, ZHU Shun-Quan and LI Jun-Qing. Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation[J]. Chinese Physics C, 2006, 30(2): 134-139.

JIN Hua, ZHENG Ren-Rong, ZHU Shun-Quan and LI Jun-Qing. Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation[J]. Chinese Physics C, 2006, 30(2): 134-139. shu

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Received: 2005-05-08
Revised: 2005-10-27

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Corresponding author: ZHENG Ren-Rong,

Department of Physics, Shanghai Normal University, Shanghai 200234, China2 Department of Arts and Science, Shanghai Dianji University, Shanghai 200240, China3 Department of Computer and Electric Technology, Shanghai Business School, Shanghai 201400, China4 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

Received Date: 2005-05-08
Accepted Date: 2005-10-27
Available Online: 2006-02-05

Abstract: The single particle's chaotic motion in the potential of a prolate harmonic oscillator plus Y₃₂+Y_3－2 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.