Summary
An approximate solution of the Thomas-Fermi equation for atoms in a high magnetic field is obtained by making use of the variational principle. The trial function chosen contains several parameters which satisfy the boundary conditions and the normalization condition. These parameters are determined by extremalizing the variational expression with respect to the parameters. These parameters are used to obtain the desired results. The initial slope of the variational trial function for several ions is obtained from which the energy and the ionization energy can be found. The results are in good agreement with the available results.
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Mobarek, O.H. Thomas-Fermi calculations for atoms in a high magnetic field using an approximate method. Nuov Cim B 106, 721–725 (1991). https://doi.org/10.1007/BF02722539
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DOI: https://doi.org/10.1007/BF02722539