New Approach to Monte Carlo Hamiltonian and Tes

  • 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.
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  • [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
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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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New Approach to Monte Carlo Hamiltonian and Tes

    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

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.

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