STUDY OF QUANTUM AND NON-MARKOVIAN EFFECTS IN BROWNIAN MOTION

SUN Zhe-Min; WU Xi-Zhen; ZHUO Yi-Zhong

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> 1990, Vol. 14> Issue(10) : 952-960

STUDY OF QUANTUM AND NON-MARKOVIAN EFFECTS IN BROWNIAN MOTION

China Institute of Atomic Energy,Beijing

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on the new form of the distribution density of the reservoir oscillator frequencies,the analytical expression of the density matrix ρ(x,x,t) for a dissipative quantum system has been obtained.The quantum and Non-Markovian effects on the quantum Brownian motion have been studied quantitatively and the Fokker-Planck equation including the quantum effects has been primarily derived under the Markovian approximation.

References

[1]

I. R. Senirzky, Phys. Rev., 119(1960), 670[2] H. Mori, Prog. Theor. Phys., 33(1965), 423.[3] R. Zwanzig, J.Chem.Phys, 33(1960), 1338.[4] S. Nakajima, Prog. Theor. Phys, 20(1958), 948[5] A. O.Caldeira and A. J. Leggett, Physica, 21A(1983), 587.[6] R. Y.Feynman and A. R. Hibbs, Quantum Machanics and Path Integrals, (New York 1965)[7] F. Smithies, Integral Equation (Cambridge 1962).[8] H. Risken, The Fokker Plank Planck Equation (Springer, Heidelberg, 1984).[9] Xizhen Wu, Zhuxiu Li, J. A. Maruhn, W. Greiner and Yiihong Zhuo, J. Phys. G: Nocl. Phys., 14(1988),1049.

[1]	WU Gang , LU Hui-Hua . Motion of the Reference Particle in an Alpha Magnet. Chinese Physics C, 2006, 30(S1): 49-50.
[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]	SONG Yuan-Jun , WANG Shun-Jin , ZHANG Guang-Biao . Nonadiabatic Geometric Phase and Hannay's Angle of the Nonautonomous Landau System in a Rotating Magnetic Field. Chinese Physics C, 2005, 29(7): 639-643.
[4]	LI Zi-Ping . Non-local Quantal Noether Identities and Their Applications. Chinese Physics C, 2002, 26(12): 1214-1222.
[5]	ZHANG De-Xing , CAI Shao-Hong . Quantum Mechanical Model with Nonlocal Potential. Chinese Physics C, 2002, 26(9): 895-899.
[6]	Shao Changgui , Chen Zhongqiu , Ma Weichuan , Chen Yihan , Lin Shuyuan . Curvature Excitation in Quantum Gravity. Chinese Physics C, 1998, 22(2): 117-121.
[7]	Lu Zhongdao . Quantum Statistical Effect in Production of K and π Mesons. Chinese Physics C, 1998, 22(10): 910-914.
[8]	Gao Haixiao , Li Ziping . Quantal Conserved Charges in Gauge Theory. Chinese Physics C, 1997, 21(6): 506-512.
[9]	Lu Dahai . Seniority Mixing in Collective States. Chinese Physics C, 1997, 21(7): 633-638.
[10]	Chen Hong , Zhang Zongye . Nonperturbative Effect of Nonstrange Baryonic Spectrum. Chinese Physics C, 1996, 20(10): 937-944.
[11]	Zhang Jingye . Some Collective Observables in Nuclear Motion. Chinese Physics C, 1994, 18(12): 1119-1123.
[12]	ZHANG Bang-Gu . The Motion of an Isolated Gas Group in Expanding Universe. Chinese Physics C, 1993, 17(9): 803-806.
[13]	LI Yang-Guo . The Spin Effect of Antiproton-Nucleus Inelastic Collison. Chinese Physics C, 1992, 16(2): 137-144.
[14]	BIAN Jian-Guo . Non-Perturbative Propagators in QCD. Chinese Physics C, 1991, 15(11): 973-980.
[15]	MA Bo-Qiang , SUN Ji . THE EMC EFFECT AND THE LIGHT-CONE QUANTUM FIELD THEORY. Chinese Physics C, 1990, 14(8): 684-691.
[16]	LI Zhu-Xia , SHI Yi-Jin , WU Xi-Zhen , WANG Zhong-Qi , ZHUO Yi-Zhong . QUANTUM EFFECT AND ONE-BODY DISSIPATION. Chinese Physics C, 1990, 14(4): 352-358.
[17]	WU Xi-Zhen , LI Zhu-Xia , ZHUO Yi-Zhong . QUANTUM BROWNIAN MOTION AND NUCLEAR FISSION. Chinese Physics C, 1990, 14(4): 345-351.
[18]	LUO ZI-HUA , LUO YING-XIONG , WANG LIN-LIN . STUDY OF THE BEAM TRAMSVERSE MOTION IN THE RFQ STRUCTURE. Chinese Physics C, 1982, 6(6): 688-696.
[19]	Wu Xi-zhen , Zhuo Yi-zhong . STUDYING NUCLEAR FISSION RATE FROM THE POINT OF VIEW OF BROWNIAN MOTION. Chinese Physics C, 1980, 4(1): 113-120.
[20]	Hu Ji-min , Zhong Yun-xiao . BROWNIAN MOTION MODEL OF THE FISSION PROCESS. Chinese Physics C, 1980, 4(3): 368-373.

Access

Get Citation

SUN Zhe-Min, WU Xi-Zhen and ZHUO Yi-Zhong. STUDY OF QUANTUM AND NON-MARKOVIAN EFFECTS IN BROWNIAN MOTION[J]. Chinese Physics C, 1990, 14(10): 952-960.

SUN Zhe-Min, WU Xi-Zhen and ZHUO Yi-Zhong. STUDY OF QUANTUM AND NON-MARKOVIAN EFFECTS IN BROWNIAN MOTION[J]. Chinese Physics C, 1990, 14(10): 952-960. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2685)
PDF Downloads(441)
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

STUDY OF QUANTUM AND NON-MARKOVIAN EFFECTS IN BROWNIAN MOTION

Corresponding author: SUN Zhe-Min,

China Institute of Atomic Energy,Beijing

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-10-05

Abstract: Based on the new form of the distribution density of the reservoir oscillator frequencies,the analytical expression of the density matrix ρ(x,x,t) for a dissipative quantum system has been obtained.The quantum and Non-Markovian effects on the quantum Brownian motion have been studied quantitatively and the Fokker-Planck equation including the quantum effects has been primarily derived under the Markovian approximation.