Classical-Path Calculation of theSMatrices for Stark Broadening of the Lyman-αLine

Abstract

The $S$ matrices for Stark broadening of the $n=1\mathrm{}$ and $n=2\mathrm{}$ levels of hydrogen based on the straight-line classical-path model are calculated numerically. The interaction terms (excluding exchange) are included to all orders, and time ordering of the operators in the $S$ matrix is retained. The resultant values for the impact-broadening operator $\Phi$ are presented. These results are compared with previous approximations based on the same model. The effect of the present calculations on the center and near wings of the Lyman-$\alpha$ line profile is considered.