Stark effect is one of the mechanisms of broadening the spectral line, it occurs when an atom, a molecule, or an ion, which emits light in a gas, is perturbed by its interactions with the other constituents of the plasmonic gas, such as other atoms, molecules, ions, or electrons. Among the most used theories in this field is the so-called classical path approximation which has presented these effects and has attracted much attention in recent years. It is based on the classical consideration, where the dynamics of the perturbers is governed by the laws of classical mechanics. Thus, the classical path approximation assumes that each perturber can be located and followed on a classical trajectory. In this work, in the case of a quantum mechanics, the interaction ion-electron is described by a quantum scattering cross section developed with a new effective potential. This potential of ion-electron interaction, taking into consideration both quantum-mechanical effects of diffraction, and also screening field effects, is presented. The amplitude of the electronic collision operator is calculated for isolated ion lines in plasma and compared with the amplitude which has been derived by Griem (classical Coulomb interaction).

collision operator; hydrogen ions; electron scattering cross-sections.