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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

  • 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

    [1] Gutzwiller M C. Chaos in Classical and Quantum Mechanics, New York: Springer, 19902 Lichtenberg A J, Lieberman M A. Regular and Stochastic Motion, New York: Springer, 1983 3 XU GongOu. Quantum Chaotic Motion (in Chinese). Shanghai: Science and Technigue Publisher of Shanghai,1995 (徐躬耦.量子混饨运动,上海:上海科学技术出版社,1995) 4 LIU Fang, LI XiGuo, LI JunQing et al. High Energy Phys. and Nucl. Phys. (in Chinese), 1999, 23(11): 1108 (刘芳,李希国,李君清等、高能物理与核物理,1999,23:(11):1108) 5 LIU Fang, LI JunQing, LI XiGuo et al. High Energy Phys. and Nucl. Phys. (in Chinese), 2000, 24(4):331–36 (刘芳,李君清,李希国等.高能物理与核物理,2000,24(4):331–336)6 Wigner E P. Phys. Rev., 1932, 40:749 7 Roman Jockiw.J. Math. Phys., 1968, 9: 339 8 Michael Martin Nieto, Simmons L M. Phys. Rev., 1979, D20: 1321; Phys. Rev., 1979, D20: 1323 9 GU Yan. Phys. Lett., 1990, A14: 995; GU Yan, Quantum Chaos (in Chinese). Shanghai: Science and Techingue Education Publisher of Shanghai. 1996 (顾雁,量子混饨,上海:上海科技教育出版社,1996)10 LI JUnQing. J. Phys., 1998, G24:1021 11 LI JunQing, ZHU JieDing, GU JinNan. Phys. Rev., 1995, B52:6458

  • References

    [1] Gutzwiller M C. Chaos in Classical and Quantum Mechanics, New York: Springer, 19902 Lichtenberg A J, Lieberman M A. Regular and Stochastic Motion, New York: Springer, 1983 3 XU GongOu. Quantum Chaotic Motion (in Chinese). Shanghai: Science and Technigue Publisher of Shanghai,1995 (徐躬耦.量子混饨运动,上海:上海科学技术出版社,1995) 4 LIU Fang, LI XiGuo, LI JunQing et al. High Energy Phys. and Nucl. Phys. (in Chinese), 1999, 23(11): 1108 (刘芳,李希国,李君清等、高能物理与核物理,1999,23:(11):1108) 5 LIU Fang, LI JunQing, LI XiGuo et al. High Energy Phys. and Nucl. Phys. (in Chinese), 2000, 24(4):331–36 (刘芳,李君清,李希国等.高能物理与核物理,2000,24(4):331–336)6 Wigner E P. Phys. Rev., 1932, 40:749 7 Roman Jockiw.J. Math. Phys., 1968, 9: 339 8 Michael Martin Nieto, Simmons L M. Phys. Rev., 1979, D20: 1321; Phys. Rev., 1979, D20: 1323 9 GU Yan. Phys. Lett., 1990, A14: 995; GU Yan, Quantum Chaos (in Chinese). Shanghai: Science and Techingue Education Publisher of Shanghai. 1996 (顾雁,量子混饨,上海:上海科技教育出版社,1996)10 LI JUnQing. J. Phys., 1998, G24:1021 11 LI JunQing, ZHU JieDing, GU JinNan. Phys. Rev., 1995, B52:6458

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Get Citation
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.
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. shu
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Received: 1999-02-12
Revised: 1900-01-01
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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

    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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