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

Abstract
HTML
Reference
Related

PDF

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

[1]

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

[1]	ZUO Wei , LUO Pei-Yan , LI Bao-An , CHEN Ji-Yan , Lombardo U . Three-Body Force Rearrangement Contribution to Single Nucleon Potential in Nuclear Matter. Chinese Physics C, 2006, 30(9): 848-853.
[2]	JIN Hua , ZHENG Ren-Rong , ZHU Shun-Quan , LI Jun-Qing . Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation. Chinese Physics C, 2006, 30(2): 134-139.
[3]	ZUO Wei , LU Guang-Cheng , LI Zeng-Hua , LUO Pei-Yan . Rearrangement Contribution to Single Nucleon Potential in Hot Nuclear Matter and Three-body Force Effect. Chinese Physics C, 2005, 29(12): 1162-1166.
[4]	ZHENG Ren-Rong , ZHU Shun-Quan , JIN Hua , LI Jun-Qing . Mechanism of Chaos Induced by the Periodic Driving Octupole Deformation. Chinese Physics C, 2004, 28(S1): 105-107.
[5]	CHEN Yu-Yan , PAN Feng . Applications of Mean-field Plus Nearest-Orbit Pairing Interaction Model to Well-Deformed Nuclei. Chinese Physics C, 2002, 26(11): 1142-1150.
[6]	LV Hong-Feng , LONG Wen-Hui , MENG Jie , ZHOU Shan-Gui . Effective Hyperon-Nucleon Interactions in the Relativistic Mean Field Theory. Chinese Physics C, 2002, 26(9): 933-940.
[7]	LIU Fang , LI Jun-Qing . Spatial-Temporal Evolution of the Wave Packet and Avoided Level Crossing. Chinese Physics C, 2002, 26(6): 607-612.
[8]	GAO Zao-Chun , CHEN Yong-Shou . Reflection Asymmetric Shell Model and Its Description of the Octupole Deformed Bands in Ra Isotopes. Chinese Physics C, 2000, 24(S1): 54-58.
[9]	ZHU Sheng-Jiang . Research on Octupole Deformation of Neutron-Rich Odd-A Nuclei and High Spin States of Some Neutron-Deficient Nuclei in A=130 Region. Chinese Physics C, 2000, 24(S1): 14-20.
[10]	GUO JianYou , RUAN TuNan , XU FuXin . Collective Motion of a pure Octupole Deformed System. Chinese Physics C, 2000, 24(12): 1194-1198.
[11]	WANG HongWei , LI ZuYu , HE ZhiYong , DUAN LiMin , ZHANG BaoGuo , FU YanBiao , JIN GenMing , WU HeYu , DAI GuangXi . Space-Time Evolution of Projectile-Like Fragment Emission for ⁴⁰Ar +^natAg Reaction at 30MeV/u. Chinese Physics C, 2000, 24(1): 35-40.
[12]	LI JunQing , LIU Fang , LI XiGuo , 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. Chinese Physics C, 2000, 24(4): 337-341.
[13]	Liu Fang , Li Xiguo , Li Junqing , Luo Yixiao . Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (I) The Formalism of the Propagation of Coherent States in Potential. Chinese Physics C, 1999, 23(11): 1108-1114.
[14]	Zhu Lingyan , Zhu Shengjiang , Li Ming . Octupole Deformation in Neutron-rich ^144,146Ce Nuclei. Chinese Physics C, 1998, 22(10): 885-890.
[15]	Li Junqing . Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation. Chinese Physics C, 1997, 21(9): 818-824.
[16]	Zhu Zhiyuan . Identical Bands in Superdeformed Nuclei With the Cranked Relativistic Mean Field Method. Chinese Physics C, 1996, 20(5): 448-454.
[17]	Li Junqing , Yuan Xiuqing , Liu Jianye , Zhu Jieding . Behavior of Individual Nucleon in Intermediate Energy Heavy Ion Reactions. Chinese Physics C, 1996, 20(9): 839-846.
[18]	He Yuanjin , Xin Mingrui , Zhang Tianbao . Measurement of Characteristic Positron Annihilation Lifetime in HgCdTe. Chinese Physics C, 1994, 18(8): 752-756.
[19]	DI YAO-MIN . OCTUPOLE STATES IN THE SO(6) LIMIT. Chinese Physics C, 1982, 6(2): 208-218.
[20]	Zhang Zong-ye , Wang Ying-cai . THE AVERAGE FIELD OF THE ISOBAR △(1232) IN NUCLEI. Chinese Physics C, 1978, 2(1): 75-82.

Access

Get Citation

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.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2501)
PDF Downloads(645)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article