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

New Approach to Monte Carlo Hamiltonian and Tes

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

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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)=μ ²x ²+λx ⁴(其中μ ²< 0,λ>0) as an example.

References

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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

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

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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.