Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (I) The Formalism of the Propagation of Coherent States in Potential

Liu Fang; Li Xiguo; Li Junqing; Luo Yixiao

Chinese Physics C> 1999, Vol. 23> Issue(11) : 1108-1114

Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (I) The Formalism of the Propagation of Coherent States in Potential

Research Center of Nuclear Theory of National laboratory of HeaVy IOn Acceleratorof Lanzhou, Lanzhou 730000Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000

Abstract
HTML
Reference
Related

PDF

Abstract：
The temporal variation characteristics of nonstationary wave functions are investigated, which enables us to carry out the study of quantum chaotic dynamics with the same starting point as in corresponding classical case, especially to realize the sensitivity of the quantum state with respect to the initial condition. Here the coherent states under the dynamical symmetry of asymmetrical two dimensional harmonic oscillator, in which the minimum uncertainty Principle is satisfied, are usedas an initial state. The formalism of the temporal variation of the expectation values and the uncertainty measurements of canonical variables of the quantum state under the broken symmetry by the additional octupole deformed potential is fulfilled.

References

[1]

Verbaarschot J J M Weidenmuller H A, Zirnbauer M K Phys. Rev. Lett., 1984, 52:1597; Phys. Rep. 1985, 129:3672 Bohigas O. In The Compound Nucleus: A Classically Chaotic Quantum System. In: Durell J L et al. Procee.Inter. Nucl. Phys. Confe. U. K: Harrogate 1986, 511 3 Gutzwiller M C Chaotic in Classical and Quantum Mechanics.New York: Springer, 1990 4 Lichtenberg J, Lieberman M A. Regular and Stochastic Motion. New York: Springer, 19835 Xu Gong–ou, Yang Ya–tian. Chin. Phys. Lett, 1999, 16:6 6 Glauber Roy J. Phys. Rev., 1963, 130:2529; 1963, 131:2766 7 Li Junqing. J. Phys., 1998, G24: 1021. 8 Heiss W D, Nazmitdinov R G, Radu S. Phys. Rev. Lett, 1994, 72:23519 Li Junqing. Phys. Rev. Lett., 1997, 79:2387 10 Blaizot, Jean–Paul. Qyabtyn theory of finite systems, Massachusetts: Massachusetts Institute of Technology,1986

[1]	SHENG Zong-Qiang , SHAO Ji-Hong , GUO Jian-You . Study of the Superdeformed State of ¹⁹⁶Pb in the Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(6): 481-484.
[2]	WANG Shi-Hu , GUO Jian-You . Relativistic Mean Field Study of Clustering in Heavy Nuclei. Chinese Physics C, 2006, 30(S2): 87-89.
[3]	LU Hong-Feng , MENG Jie . Effects of Tensor Coupling on Spin-Orbit Splittings in the Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(5): 412-416.
[4]	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.
[5]	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.
[6]	DING Bin-Gang , LU Ding-Hui . Study on Pairing Energy Gap Parameter for O-isotopes in Relativistic Mean Field Theory. Chinese Physics C, 2005, 29(12): 1153-1156.
[7]	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.
[8]	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.
[9]	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.
[10]	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.
[11]	ZHOU Yong , LI JunQing , MA ZhongYu , CHEN BaoQiu . Drip-Line Nucleus of Z=59 Nuclei in the Relativistic Mean-Field Theory. Chinese Physics C, 2000, 24(10): 940-944.
[12]	LIU Fang , LI JunQing , LI XiGuo , 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. Chinese Physics C, 2000, 24(4): 331-336.
[13]	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.
[14]	Li Junqing . Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation. Chinese Physics C, 1997, 21(9): 818-824.
[15]	Zhu Zhiyuan . Identical Bands in Superdeformed Nuclei With the Cranked Relativistic Mean Field Method. Chinese Physics C, 1996, 20(5): 448-454.
[16]	Zhou Hongbo , Li Zhuxia , Zhuo Yizhong . Studying the influences of Mean Field and NN Cross Section on the Collective Flow at High and Intermediate Energy in the Relativistic VUU Approach. Chinese Physics C, 1995, 19(2): 156-164.
[17]	ZHANG Guang-Yuan , CAI Wei-Cheng , LI Xin-Zhou . FERMION FIELDS IN THE SOLITON BACKGROUND OF SIX-DIMENSIONAL PURE KALUZA-KLEIN THEORIES. Chinese Physics C, 1988, 12(2): 281-285.
[18]	XUE She-Sheng . A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.
[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 Xiguo, Li Junqing and 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[J]. Chinese Physics C, 1999, 23(11): 1108-1114.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1998-07-30
Revised: 1900-01-01

Article Metric

Article Views(2638)
PDF Downloads(674)
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 (I) The Formalism of the Propagation of Coherent States in Potential

Corresponding author: Liu Fang,

Research Center of Nuclear Theory of National laboratory of HeaVy IOn Acceleratorof Lanzhou, Lanzhou 730000Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000

Received Date: 1998-07-30

Accepted Date: 1900-01-01

Available Online: 1999-11-05

Abstract: The temporal variation characteristics of nonstationary wave functions are investigated, which enables us to carry out the study of quantum chaotic dynamics with the same starting point as in corresponding classical case, especially to realize the sensitivity of the quantum state with respect to the initial condition. Here the coherent states under the dynamical symmetry of asymmetrical two dimensional harmonic oscillator, in which the minimum uncertainty Principle is satisfied, are usedas an initial state. The formalism of the temporal variation of the expectation values and the uncertainty measurements of canonical variables of the quantum state under the broken symmetry by the additional octupole deformed potential is fulfilled.

HTML

Reference (1)

Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (I) The Formalism of the Propagation of Coherent States in Potential

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article