Monte Carlo Effective Hamiltonian in 1+1 Dimensional Case'

HUANG ChunQing; JIANG JunQin; LUO XiangQian

Chinese Physics C> 2000, Vol. 24> Issue(6) : 478-483

Monte Carlo Effective Hamiltonian in 1+1 Dimensional Case'

Department of Physics,Foshan Science and Technology College,Foshan 528000,China2 Department of Physics,Guangdong Institute of Education,Guangzhou 510303,China3 Department of Physics,Zhongshan University,Guangzhou 510275,China4 Département de Physique,Université Laval,Québec,Québec G1K7P4,Canada5 Department of Mathematics,Statistics and Computational Science,Dallhousie University, Halifax,Nova Scotia B3H 3J5,Canada

Abstract
HTML
Reference
Related

PDF

Abstract：
Using a recently developed Monte Carlo effective Hamiltonian method,we study the low energy physics of 1+1 dimensional quantum mechanical system V(x)=μ²x²+λx⁴(here μ²<0,λ>0),which is similar to Higgs potential in the standard model of unified electroweak theory.Good results of the spectra,wavefunctions and thermodynamical observables are obtained.It shows that the new Monte Carlo Hamiltonian method has potential application to systems with many degrees of freedom and lattice gauge theory.

References

[1]

JIANG J Q ,LUO X Q et al.Phys.Rev.,1999,D60 :014 501 [2] LUO XiangQian ,CHEN QiZhou .Mod .Phys.Lett.,1996,A1 1 : 4 35; LUO XiangQian .High Energy Phys.and Nucl.Phys.(in Chinese) ,1999,23:1 88(罗向前 ,高能物理与核物理 .1999,2 3:1 88) [3] Jirari H ,Kr ger H ,LUO X Q et al.Phys. Lett.,1 999,A6:2 58 [4] Falkensteiner P ,Grosse H ,Schoberd F .Comput. Phys.Commun .,1985,34 :287 [5] CHEN ZhiJiang,DING YiBin ,KONG FanMei.Comput. Phys.(in Chinese) ,1987,4 :113(陈之江 ,丁亦兵 ,孔繁梅 .计算物理 ,1987,4 :113) [6] Feynman R P ,Hibbs A R .QUANTUM MECHANICS AND PATHINTEGRALS ,McGraw –Hill,1965 [7] Metropolis N ,Rosenbluth A ,Rosenbluth M et al .J. Chem .Phys.,1953,21 :1087

[1]	WANG Gui-Mei , WU Wen-Zong , Xiangyang LU , ZHANG Bao-Cheng , QUAN Sheng-Wen , ZHU Feng , LIN LIN , JIAO Fei , ZHAO Kui . Study on HOMs in 1+1/2 Cell Superconducting Cavity. Chinese Physics C, 2005, 29(11): 1077-1080.
[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]	WANG Jing , HUANG Yong-Chang . BRST Transformation Equivalence and Ward Identities of 1+1 Dimensional Non-linear σ Model. Chinese Physics C, 2004, 28(1): 17-21.
[4]	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.
[5]	JIANG JunQin , LI JieMing . Improved Scheme of the Lattice Hamiltonian in 1+1 Dimensional QCD. Chinese Physics C, 2000, 24(3): 208-212.
[6]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
[7]	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.
[8]	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.
[9]	Jiang Junqin . The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
[10]	Wang Qun , Xie Qubing . Effective Hamiltonian for Process e⁺e^－→m(qq)+ng. Chinese Physics C, 1995, 19(9): 791-795.
[11]	Li Yuxiao , Shi Wanzhong , Liu Li . Non-contractable Loops and Sphalerons in 1+1-dimension U(1) Higgs Model. Chinese Physics C, 1994, 18(11): 1003-1011.
[12]	SHEN Peng-Nian , SHEN Xiao-Yan , ZHANG Zong-Ye , YU You-Wen . Effective Local N-Y Potentials with S=－1 in Quark Cluster Model. Chinese Physics C, 1993, 17(10): 941-948.
[13]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE 1+1-DIMENSIONAL U(1) GAUGE THEORY. Chinese Physics C, 1990, 14(2): 152-155.
[14]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE (1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL. Chinese Physics C, 1990, 14(3): 282-285.
[15]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
[16]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[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]	YUE Rui-Hong . SOLUTION OF CHIRAL QCD₂ IN 1+1 DIMENSIONAL CURVED SPACETIME. Chinese Physics C, 1988, 12(5): 593-600.
[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 ChunQing, JIANG JunQin and LUO XiangQian. Monte Carlo Effective Hamiltonian in 1+1 Dimensional Case'[J]. Chinese Physics C, 2000, 24(6): 478-483.

HUANG ChunQing, JIANG JunQin and LUO XiangQian. Monte Carlo Effective Hamiltonian in 1+1 Dimensional Case'[J]. Chinese Physics C, 2000, 24(6): 478-483. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1999-05-10
Revised: 1900-01-01

Article Metric

Article Views(4638)
PDF Downloads(623)
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

Monte Carlo Effective Hamiltonian in 1+1 Dimensional Case'

Corresponding author: HUANG ChunQing,

Department of Physics,Foshan Science and Technology College,Foshan 528000,China2 Department of Physics,Guangdong Institute of Education,Guangzhou 510303,China3 Department of Physics,Zhongshan University,Guangzhou 510275,China4 Département de Physique,Université Laval,Québec,Québec G1K7P4,Canada5 Department of Mathematics,Statistics and Computational Science,Dallhousie University, Halifax,Nova Scotia B3H 3J5,Canada

Received Date: 1999-05-10
Accepted Date: 1900-01-01
Available Online: 2000-06-05

Abstract: Using a recently developed Monte Carlo effective Hamiltonian method,we study the low energy physics of 1+1 dimensional quantum mechanical system V(x)=μ²x²+λx⁴(here μ²<0,λ>0),which is similar to Higgs potential in the standard model of unified electroweak theory.Good results of the spectra,wavefunctions and thermodynamical observables are obtained.It shows that the new Monte Carlo Hamiltonian method has potential application to systems with many degrees of freedom and lattice gauge theory.