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Using Evolutionary Algorithm To Calculate The Ground-State Energy Of Double-Electron Atoms In A Uniform Magnetic Field(B≤ 109g)

Author

Listed:
  • LIANJUN LIU

    (Department of Physics in Wuhan University, Wuhan, Hubei, 430072, China)

  • LI ZHAO

    (Department of Physics in Wuhan University, Wuhan, Hubei, 430072, China)

  • YOUDONG MAO

    (Department of Physics in Wuhan University, Wuhan, Hubei, 430072, China)

  • DONG YU

    (Department of Physics in Wuhan University, Wuhan, Hubei, 430072, China)

  • JINGWEN XU

    (State Key Laboratory of Software Engineering in Wuhan University Wuhan, Hubei, 430072, China)

  • YUANXIANG LI

    (State Key Laboratory of Software Engineering in Wuhan University Wuhan, Hubei, 430072, China)

Abstract

It is very difficult to calculate the accurate ground-state energies of the double-electron atom like helium in a uniform magnetic field. By using the modified configuration interaction (MCI) method and the evolutionary algorithm (EA), we obtained highly accurate results. We discuss the role of magnetic field in the ground state of the double-electron system and the possibility of variational ground-state energy calculation by using evolutionary algorithm directly. Results show that compared with other algorithms, such as the simplex method, EA is more efficient in calculating atomic energies, and can be used in other fields of physics.

Suggested Citation

  • Lianjun Liu & Li Zhao & Youdong Mao & Dong Yu & Jingwen Xu & Yuanxiang Li, 2000. "Using Evolutionary Algorithm To Calculate The Ground-State Energy Of Double-Electron Atoms In A Uniform Magnetic Field(B≤ 109g)," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 183-194.
    • Handle: RePEc:wsi:ijmpcx:v:11:y:2000:i:01:n:s012918310000016x
    DOI: 10.1142/S012918310000016X
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