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

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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

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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

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

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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.