中国物理B ›› 2001, Vol. 10 ›› Issue (12): 1118-1123.doi: 10.1088/1009-1963/10/12/307

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USING AN EVOLUTIONARY ALGORITHM BASED ON CELL DIVISION OPERATION TO CALCULATE GROUND-STATE ENERGIES OF DOUBLE-ELECTRON SYSTEMS IN MAGNETIC FIELDS

毛有东1, 刘莲君2, 徐静雯3   

  1. (1)Department of Physics, Wuhan University (Luo Jia Mount), Wuhan 430072, China; (2)State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics, Chinese Academy of Sciences, Wuhan 430071, China; Department of Physics, Wuhan University (Luo Jia Mount), Wuhan 430072, China; (3)State key laboratory of software engineering, Wuhan University (Luo Jia Mount), Wuhan 430072, China
  • 收稿日期:2001-05-05 修回日期:2001-07-06 出版日期:2001-12-15 发布日期:2005-06-12
  • 基金资助:
    Project supported by the Opening Foundation of the State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics, Chinese Academy of Sciences (Grant No. T152112).

USING AN EVOLUTIONARY ALGORITHM BASED ON CELL DIVISION OPERATION TO CALCULATE GROUND-STATE ENERGIES OF DOUBLE-ELECTRON SYSTEMS IN MAGNETIC FIELDS

Xu Jing-wen (徐静雯)c, Liu Lian-jun (刘莲君)ab, Mao You-dong (毛有东)b    

  1. a State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics, Chinese Academy of Sciences, Wuhan 430071, China; b Department of Physics, Wuhan University (Luo Jia Mount), Wuhan 430072, China; c State key laboratory of software engineering, Wuhan University (Luo Jia Mount), Wuhan 430072, China
  • Received:2001-05-05 Revised:2001-07-06 Online:2001-12-15 Published:2005-06-12
  • Supported by:
    Project supported by the Opening Foundation of the State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics, Chinese Academy of Sciences (Grant No. T152112).

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摘要： In this paper we adopt a new approach－the evolutionary algorithm based　on cell division operation－to deal with ground-state energies of double-electron systems. This algorithm is based on the evolution of sets and can incorporate other search algorithms. Firstly, we make a search for several good subsets of solution space at the same time. Then, we make a fine search in the neighbourhood of some better points obtained in the first step to determine the final optimal results. In addition, the cell division enables the solution subspaces to become smaller and smaller, and thus increase the convergence speed. We have tested this approach on double-electron systems in magnetic fields, and the results obtained have shown that it can improve not only the efficiency but also the accuracy of the calculations compared with other methods.

Abstract: In this paper we adopt a new approach---the evolutionary algorithm based on cell division operation－to deal with ground-state energies of double-electron systems. This algorithm is based on the evolution of sets and can incorporate other search algorithms. Firstly, we make a search for several good subsets of solution space at the same time. Then, we make a fine search in the neighbourhood of some better points obtained in the first step to determine the final optimal results. In addition, the cell division enables the solution subspaces to become smaller and smaller, and thus increase the convergence speed. We have tested this approach on double-electron systems in magnetic fields, and the results obtained have shown that it can improve not only the efficiency but also the accuracy of the calculations compared with other methods.

Key words: double-electron system, ground-state energy, subspace of solution space, evolutionary algorithm based on cell division operation

中图分类号:  (Calculations and mathematical techniques in atomic and molecular physics)

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