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

LI JunQing; LIU Fang; LI XiGuo; LUO YiXiao

Chinese Physics C> 2000, Vol. 24> Issue(4) : 337-341

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

Research Center of Nuclear Theory of National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, ChinaInstitute of Modern Physics,The Chinese Academy of Sciences,Lanzhou 730000, China

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Abstract：
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.

References

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LI JunQing, LIU Fang, LI XiGuo and LUO YiXiao. 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[J]. Chinese Physics C, 2000, 24(4): 337-341.

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Received: 1999-02-12
Revised: 1900-01-01

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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 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

Corresponding author: LI JunQing,

Research Center of Nuclear Theory of National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, ChinaInstitute of Modern Physics,The Chinese Academy of Sciences,Lanzhou 730000, China

Received Date: 1999-02-12

Accepted Date: 1900-01-01

Available Online: 2000-04-05

Abstract: 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.

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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

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