USING EVOLUTIONARY ALGORITHM TO CALCULATE THE GROUND-STATE ENERGY OF DOUBLE-ELECTRON ATOMS IN A UNIFORM MAGNETIC FIELD(B≤ 109G)

Lianjun Liu, Li Zhao, Youdong Mao, Dong Yu, Jingwen Xu () and Yuanxiang Li
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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

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 01, 183-194

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.

Keywords: Double-Electron System; Ground-State Energy; Modified Configuration Interaction (MCI) Method; Evolutionary Algorithm (EA) (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S012918310000016X

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