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The equations of radiative transfer and statistical equilibrium in the presence of a magnetic field are presented. A general difference equation scheme for solving the vector transfer equation in Stokes parameters, allowing for arbitrary variations of the magnetic field and other quantities, is described. The solution of the Stokes non-LTE problem for Ca II by the complete linearization method is described, and numerical examples of the procedure are presented.
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Auer et al. (1977) studied this question.
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