Spatial-Temporal Evolution of the Wave Packet and Avoided Level Crossing

LIU Fang; LI Jun-Qing

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2002, Vol. 26> Issue(6) : 607-612

Spatial-Temporal Evolution of the Wave Packet and Avoided Level Crossing

LIU Fang ^, ,
LI Jun-Qing

Institute of Modern Physics, Northwest University, Xi'an 710069, China2 Institute of Mordern Physics, The Chinese Academy of Sciences, Lanzhou 730000, China

Abstract
HTML
Reference
Related

PDF

Abstract：
In the two cases that the deformed nuclear system is regular and chaotic, the spatial temporal evolution of the coherent states of a two dimensional harmonic oscillator system as an initial state was analyzed with the Fourier transformation, especially by comparing the Fourier transformation of the width of the wave packet in the whole time stage with that the wave packet approaching to the saturation in the chaotic system. It was found that since a large number of avoided level crossings destroy the regular structure of the state space of the system, the components in the wave packet are no longer coherent and the motion of the wave packet becomes chaotic. Afterwards, the contribution coming from the different components tends to uniform, the influence of the avoided level crossings on the motion of the wave packet is not obvious also.

References

[1]

. Gutzwiller M C. Chaos in Classical and Quantum Mechanics, Springer New York, 19902. XU Gong-Ou, YANG Ya-Tian. Chin. Phys. Lett.,1999,16:6—8;XU Gong-Ou et al. Chin. Phys. Lett.,1999,16:82 3. WANG Shun-Jin, CHU S Y. Phys. Rev.,1993,A47(8):3546—3553 4. XU Gong-Ou et al. Phys. Rev.,1992,A45:5401 5. LIU Fang, LI Jun-Qing et al. High Energy Phys. and Nucl. Phys.,2000,24(4):331—336(in Chinese)(刘芳,李君清等.高能物理与核物理,2000,24(4):331—336)6. Heiss W D et al. Phys. Rev. Lett.,1994,72(15):2351—2354 7. LI Jun-Qing. J. Phys.,1998,G24:1021—10288. LIU Fang et al. High Energy Phys. and Nucl. Phys.,1999,23(11):1108—1114;LI Jun-Qing, LIU Fang et al. High Energy Phys.,and Nucl. Phys. 2000,24(4):337(in Chinese)(刘芳等.高能物理与核物理,1999,23(11):1108—1114;李君清,刘芳等.高能物理与核物理,2000,24(4):337) 9. LIU Fang, LI Jun-Qing et al. Comm. Thero. Phys.,2001,35(5):531—538

[1]	ZHANG Yuan . Horizontal Synchro-Betatron Resonances due to Beam-Beam Interaction with Horizontal Crossing. Chinese Physics C, 2006, 30(S1): 51-53.
[2]	LI Jin-Hai , LU Jian-Qin . Nonlinear Analysis for the Wein Filter with Lie Algebraic Method. Chinese Physics C, 2004, 28(9): 998-1001.
[3]	XING Zheng , CHEN Xing-Qu , WANG Zi-Xing , XU Jin-Zhang . Evolution of Superdeformed Shapes in Odd-A Tl Nuclei. Chinese Physics C, 2000, 24(S1): 45-49.
[4]	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.
[5]	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.
[6]	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.
[7]	Pan Qiangyan , Luo Yixiao , De Poli , de Angelis . Band Crossings and Shape Changes in the K^π=5－/2 Band in ⁷⁹Kr. Chinese Physics C, 1998, 22(3): 209-216.
[8]	Hou Defu , Li Jiarong . Finite-Temperature Thermodynamic Potential of Two-Loop QED and Overlapping Divergences at Arbitrary Gauge. Chinese Physics C, 1995, 19(11): 998-1004.
[9]	Wu Chongshi . Bandcrossing of K=1/2 Bands in Odd - Proton Nuclei. Chinese Physics C, 1995, 19(11): 1024-1028.
[10]	YU Ming-Jian , SHEN Jian-Ping , LI Guang-Lie . Improvement of the Parton Evolution Model in the Small x Region. Chinese Physics C, 1993, 17(9): 861-864.
[11]	FU Hong-Chen , GE Mo-Lin . Cyclic Representations of Quantum (Super) Algebras At q^p=1. Chinese Physics C, 1993, 17(8): 700-709.
[12]	HOU Bo-Yu , SHI Kang-Jie , YUE Rui-Hong . The Crossing Matrices and Correlation Function in Nonunitary SU_K(2) Wess-Zumino-Witten Model. Chinese Physics C, 1992, 16(5): 414-422.
[13]	LIAO Bo-Qin , LIN Xin-Wei . Coriolis Attenuation Effect on the Bandcrossing Frequency of ¹⁶⁴Er₉₆. Chinese Physics C, 1992, 16(3): 266-271.
[14]	ZHU Quan-Ling , GE Ling-Xiao , LI Zhu-Xia . Evolution of Heavy Ion Reaction Mechanism is the Energy Region of 10 to 100MeV/A. Chinese Physics C, 1992, 16(7): 658-665.
[15]	YANG Jian-Jun , ZHU Ya-Bo , SHEN Hong-Qing , SHEN Jian-Ping , LI Guang-Lie . Parton Evolution Model and the EMC Effect. Chinese Physics C, 1991, 15(4): 309-315.
[16]	XING Zheng , WU Xing-Ju . ROTATIONAL EFFECT ON ELECTROMAGNETIC TRANSITIONS AFTER BAND-CROSSING. Chinese Physics C, 1990, 14(12): 1130-1135.
[17]	LU Hai-Tao , Diao Hao , ZHANG Mao-Lin . A SYNTHESIS LEVEL DENSITY FORMULA. Chinese Physics C, 1988, 12(3): 396-403.
[18]	Liao Ji-zhi . THREE BAND INTERSECTION MODEL DESCRIBING THE HIGH SPIN STATES OF EVEN-EVEN NUCLEI. Chinese Physics C, 1980, 4(5): 626-631.
[19]	Gu Jin-nan , Wang Zheng-da . THE ROTATIONAL THREE-BAND INTERACTION FOR EVEN-EVEN NUCLEI. Chinese Physics C, 1980, 4(5): 652-660.
[20]	CHANG HSI-CHEN . LEVEL DENSITY JUST ABOVE YRAST LINE. Chinese Physics C, 1978, 2(4): 374-377.

Access

Get Citation

LIU Fang and LI Jun-Qing. Spatial-Temporal Evolution of the Wave Packet and Avoided Level Crossing[J]. Chinese Physics C, 2002, 26(6): 607-612.

LIU Fang and LI Jun-Qing. Spatial-Temporal Evolution of the Wave Packet and Avoided Level Crossing[J]. Chinese Physics C, 2002, 26(6): 607-612. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2001-09-10
Revised: 1900-01-01

Article Metric

Article Views(2663)
PDF Downloads(607)
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

Spatial-Temporal Evolution of the Wave Packet and Avoided Level Crossing

LIU Fang ^,
LI Jun-Qing

Corresponding author: LIU Fang,

Institute of Modern Physics, Northwest University, Xi'an 710069, China2 Institute of Mordern Physics, The Chinese Academy of Sciences, Lanzhou 730000, China

Received Date: 2001-09-10
Accepted Date: 1900-01-01
Available Online: 2002-06-05

Abstract: In the two cases that the deformed nuclear system is regular and chaotic, the spatial temporal evolution of the coherent states of a two dimensional harmonic oscillator system as an initial state was analyzed with the Fourier transformation, especially by comparing the Fourier transformation of the width of the wave packet in the whole time stage with that the wave packet approaching to the saturation in the chaotic system. It was found that since a large number of avoided level crossings destroy the regular structure of the state space of the system, the components in the wave packet are no longer coherent and the motion of the wave packet becomes chaotic. Afterwards, the contribution coming from the different components tends to uniform, the influence of the avoided level crossings on the motion of the wave packet is not obvious also.