New Approach to Monte Carlo Hamiltonian and Tes

HUANG Chun-Qing; LUO Xiang-Qian

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> 2005, Vol. 29> Issue(9) : 928-932

New Approach to Monte Carlo Hamiltonian and Tes

HUANG Chun-Qing ,
LUO Xiang-Qian ^,

Department of Physics, Zhongshan University, Guangzhou 510275, China2 Department of Photoelectronics and Physics, Foshan University, Foshan 528000, China3 Departement de Physique, Universite Laval, Quebec, PQ G1K 7P4, Canada

Abstract
HTML
Reference
Related

PDF

Abstract：
Monte Carlo Hamiltonian method is a new algorithm for numerical simulation of quantum theories.The advantage is its ability to study spectrum and wave functions beyond the ground state.The previous approach needs information on free particles and is difficult to be used for lattice gauge theory. In this paper, we propose a new approach to MCH, which may overcome the difficulty. We describe the basic ideas, and use a 1-dimensional quantum mechanical model V(x)=μ²x²+λx⁴(其中μ²< 0,λ>0) as an example.

References

[1]

. Jirari H, Kroger H, LUO X Q et al. Phys. Lett., 1999,A258: 6-142. HUANG C Q, JIANG J Q, LUO X Q et al. HEP NP,2000, 24: 478-483(in Chinese)(黄纯青,江俊勤,罗向前等.高能物理与核物理,2000, 24:478-483)3. LUO X Q, LIU J J, HUANG C Q et al. Commun. Theor. Phys., 2002, 38: 561-5654. JIANG J Q, HUANG C Q, LUO X Q et al. Commun. Theor. Phys., 2000, 34: 723-7285. HUANG C Q, Kroger H, LUO X Q et al. Phys. Lett., 2002,A299: 483-4936. Wilson K G. Phys. Rev., 1974, D10: 2445-24597. Feynman R P, Hibbs A R. Quantum Mechanics and Path Integrals. McGraw-Hill Press, 19658. Metropolis N et al. J. Chem. Phys., 1953, 21: 1087-10929. HUANG C Q. J. Foshan Univ., 1993, 4: 59-62(in Chinese)(黄纯青.佛山大学学报,1993, 4: 59-62)10. KANG L S, XIE Y, YOU S Y et al. Non Numerical Parallel Algorithm - Simulated Annealing. Beijing: Science Press,1994.(in Chinese)(康立山,谢云,尤矢勇等.非数值并行算法-模拟退火算法.北京:科学出版社,1994)11. Gregory E B, GUO S, Kroger H et al. Phys. Rev., 2000,D62: 05450812. LUO X Q. Phys. Rev., 2004, D70: 091504

[1]	JIN Da-Peng , GUO Ya-Nan , WANG Yi-Fang , WU Ling-Hui , LIU Zhen-An , ZHAO Di-Xin , YU Zhong-Qiang . Monte Carlo Simulation of the BEPCⅡ/BEPCⅢ Backgrounds——Touschek Effects. Chinese Physics C, 2006, 30(5): 449-453.
[2]	HUANG Chun-Qing , LI Yong-Yao , LUO Xiang-Qian . An Approach to non-S States by Applying Effective Monte Carlo Hamiltonian. Chinese Physics C, 2005, 29(7): 717-720.
[3]	QIU You-Heng , DENG Li , YING Yang-Jun , XIAO Gang . Monte Carlo Simulation of Boron Neutron Capture Therapy. Chinese Physics C, 2003, 27(10): 936-942.
[4]	JIANG Jun-Qin , LI Jie-Ming . Calculation of the 0⁺⁺ Glueball Mass for 2+1 Dimensional QCD by Using the Improved Lattice Hamiltonian. Chinese Physics C, 2001, 25(10): 941-944.
[5]	LIU Jin-Ming , LI Jie-Ming , GUO Shuo-Hong . Glueball Mass in Improved SU(3) Lattice Hamiltonian in 2+1 Dimensional. Chinese Physics C, 2001, 25(5): 383-387.
[6]	LI JieMing , JIANG JunQin . Calculation of the Glueball Mass for 2+1 Dimensional SU(2) Lattice Gauge Field Theory by Using the Improved Hamiltonian. Chinese Physics C, 2000, 24(12): 1094-1097.
[7]	JIANG JunQin , LI JieMing . Improved Scheme of the Lattice Hamiltonian in 1+1 Dimensional QCD. Chinese Physics C, 2000, 24(3): 208-212.
[8]	HUANG ChunQing , JIANG JunQin , LUO XiangQian . Monte Carlo Effective Hamiltonian in 1+1 Dimensional Case'. Chinese Physics C, 2000, 24(6): 478-483.
[9]	Jiang Junqin , Luo Xiangqian , Guo Shuohong , Liu Jinming . Calculation of the Vacuum Wave Function in 2+1 Dimensional U(1) Gauge Theory by Using the Improved Lattice Hamiltonian. Chinese Physics C, 1999, 23(12): 1152-1157.
[10]	Jiang Junqin , Luo Xiangqian . Calculation of the Vector Meson Mass in 1+1 Dimensional Lattice QCD by Using the Improved Hamiltonian. Chinese Physics C, 1999, 23(7): 644-649.
[11]	Jiang Junqin . The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
[12]	Hu Jimin , Xu Furong , Zheng Chunkai . Vibrational and Rotational Motions Model of Nucleus(Ⅰ) Cranking Bohr-Mottelson Hamiltonian and Analyses of the Rotational Bands of Even-Even Nuclei. Chinese Physics C, 1996, 20(1): 76-84.
[13]	Wang Qun , Xie Qubing . Effective Hamiltonian for Process e⁺e^－→m(qq)+ng. Chinese Physics C, 1995, 19(9): 791-795.
[14]	ZHANG Li , ZHANG Ming , MU Jun , YU Chuan-Zan . Monte Carlo Simulation for the Propagation of Galactic Cosmic Ray Nuclei. Chinese Physics C, 1993, 17(7): 589-594.
[15]	DI Yao-Min , HA Yi-Ming , FU De-Ji . The Effective Hamiltonian With Continuous Variables Representation in IBM-Ⅱ. Chinese Physics C, 1992, 16(9): 849-856.
[16]	DING Lin-Kai , CHI Xin-Yu , ZHU Qing-Qi , JING Cai-Liu , JING Gui-Ru . A MONTE-CARLO GENERATOR OF CHOU-YANG GEOMETRICAL MODEL. Chinese Physics C, 1988, 12(6): 731-736.
[17]	CHENG Tan-Sheng , WU Chong-Shi , ZENG Jin-Yan . PARTICLE-NUMBER-CONSERVING APPROACH FOR TREATING CRANKING HAMILTONIAN. Chinese Physics C, 1988, 12(4): 534-540.
[18]	MA Zhong-Qi , DAI An-Ying . ON THE HERMITIAN OF THE HAMILTONIAN OF RADIAL EQUATION. Chinese Physics C, 1988, 12(1): 42-49.
[19]	WANG Tai-Jie , WANG Shu-Qin , YAN Wu-Guang , HUANG Yin-Zhi , HUANG De-Qiang , LANG Peng-Fei . SIMPLIFIED MONTE CARLO SIMULATION FOR BEIJING SPECTROMETER. Chinese Physics C, 1986, 10(4): 385-392.
[20]	ZHANG Yue-Zhong . ON THE BOUNDARY CONDITION AND CANONICAL S-WAVE HAMILTIONIAN FOR THE DYON-FERMION SYSTEM——THE SURFACE LAGRANGIAN AND GAUGE INVARIANT CHARGE CURRENT. Chinese Physics C, 1986, 10(1): 15-23.

Access

Get Citation

HUANG Chun-Qing and LUO Xiang-Qian. New Approach to Monte Carlo Hamiltonian and Tes[J]. Chinese Physics C, 2005, 29(9): 928-932.

HUANG Chun-Qing and LUO Xiang-Qian. New Approach to Monte Carlo Hamiltonian and Tes[J]. Chinese Physics C, 2005, 29(9): 928-932. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2005-02-02
Revised: 1900-01-01

Article Metric

Article Views(2929)
PDF Downloads(613)
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

New Approach to Monte Carlo Hamiltonian and Tes

HUANG Chun-Qing
LUO Xiang-Qian ^,

Corresponding author: LUO Xiang-Qian,

Department of Physics, Zhongshan University, Guangzhou 510275, China2 Department of Photoelectronics and Physics, Foshan University, Foshan 528000, China3 Departement de Physique, Universite Laval, Quebec, PQ G1K 7P4, Canada

Received Date: 2005-02-02
Accepted Date: 1900-01-01
Available Online: 2005-09-05

Abstract: Monte Carlo Hamiltonian method is a new algorithm for numerical simulation of quantum theories.The advantage is its ability to study spectrum and wave functions beyond the ground state.The previous approach needs information on free particles and is difficult to be used for lattice gauge theory. In this paper, we propose a new approach to MCH, which may overcome the difficulty. We describe the basic ideas, and use a 1-dimensional quantum mechanical model V(x)=μ²x²+λx⁴(其中μ²< 0,λ>0) as an example.