Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (Ⅱ) Characteristics of Expectation Values and Uncertainty Measures of Canonical Variables in Space-Temporal Variation of Initial Coherent States

LIU Fang; LI JunQing; LI XiGuo; LUO YiXiao

Chinese Physics C> 2000, Vol. 24> Issue(4) : 331-336

Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (Ⅱ) Characteristics of Expectation Values and Uncertainty Measures of Canonical Variables in Space-Temporal Variation of Initial Coherent States

Research Center of Nuclear Theory of National Laboratory of Heavy Ion Accelerator of 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 characteristics of expectation values and uncertainty measures of canonical variables in space-temporal varia- tions.The quantum chaotic system shows varying behaviors as the corresponding classical chaotic system does. Thus the characteristics of quantum chaos are associated with the geom- atric symmetry of the potential surface, specifically, the existence of the negative curvature and the magnitude of the curvature in the potential surface.

References

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LIU Fang et al. High Energy Phys. and Nucl. Phys. (in Chinese), 1999,23(11): 1108–1114 (刘芳等.高能物理与核物理,1999,23(11):1108–1114 2 XU GongOu. Chaotic Motions in Quanturn Systems (in Chinese). Shanghai: Shanghai Scientific Technical Publish–ers, 1995 (徐躬耦.量子混沌运动.上海:上海科学技术出版社,1995) 3 Gutzwiller M C. Chaos in Classical and Quantum Mechanics. New York: Springer, 19904 Lichtenberg A J, Lieberman M A. Regular and Stochastic Motion. New York: Springer, 19835 Fritz Haake. QuantUIn Signstures of Chaos. Berlin, Heidelberg: Springer–Varlag, 19916 Toda M, Ikeda K. Phys.Lett., 1987,A124:165 7 GU Yan. Phys. Lett., 1990, A149: 95; GU Yan. Quantum Chaos (in Chinese). Shanghai: Shanghai Scientific and Technological Education Publishing House,1996 (顾雁.量子混饨.上海:上海科技教育出版社,1996) 8 XU GongOu, XING YongZhang, YANG YaTian. Chin. Phys. Lett., 1999, 16:829 XU GongOu, YANG YaTian. Chin. Phys. Lett., 1999,16:6 10 Michael Martin Nieto,Simmons L M. Jr. Phys. Rev., 1979, D20:321; Phys. Rev., 1979,D20: 132311 Roman Jockiw. J. Math. Phys., 1968,9:33912 LI JunQing.J. Phys., 1998,G24:1021 13 LI JunQing, ZHU JieDing, GU JinNan. Phys. Rev., 1995, B52:6458

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LIU Fang, LI JunQing, LI XiGuo and LUO YiXiao. Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (Ⅱ) Characteristics of Expectation Values and Uncertainty Measures of Canonical Variables in Space-Temporal Variation of Initial Coherent States[J]. Chinese Physics C, 2000, 24(4): 331-336.

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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 (Ⅱ) Characteristics of Expectation Values and Uncertainty Measures of Canonical Variables in Space-Temporal Variation of Initial Coherent States

Corresponding author: LIU Fang,

Research Center of Nuclear Theory of National Laboratory of Heavy Ion Accelerator of 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 characteristics of expectation values and uncertainty measures of canonical variables in space-temporal varia- tions.The quantum chaotic system shows varying behaviors as the corresponding classical chaotic system does. Thus the characteristics of quantum chaos are associated with the geom- atric symmetry of the potential surface, specifically, the existence of the negative curvature and the magnitude of the curvature in the potential surface.