Abstract
The purpose of this paper is to present a new general approach to solve ground-state energies of the double-electron systems in a uniform magnetic field, in which the basic element of evolution is the set in the solution space, rather than the point. The paper defines the Cell Evolutionary Algorithm, which implements such a view of the evolution mechanism. First, the optimal set in which the optimal solution may be obtained. Then this approach applies the embedded search method to get the optimal solution. We tested this approach on the atomic structure, and the results show that it can improve not only the efficiency but also the accuracy of the calculations as it relates to this specific problem.
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Foundation item: Supported by the opening Foundation of state key Laboratory of Magnetic Resonance and Atomic and Molecular physics, Wuhan Institute of physics, Chinese Academy of Science (981510)
Biography: Liu Lian-jun(1946-), female, Associate professor, research direction: atom and molecular physics.
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Lian-jun, L., **g-wen, X., You-dong, M. et al. Cell evolutionary algorithm: a new optimization method on ground-state energy of the atomic. Wuhan Univ. J. Nat. Sci. 5, 425–430 (2000). https://doi.org/10.1007/BF02850767
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DOI: https://doi.org/10.1007/BF02850767
Key words
- double-electron systems
- ground-state energy
- variational principle
- cell evolutionary algorithm
- evolutionary algorithm