Role of electron quantization on plasma shielding potentials

Using a moving test charge approach in the magnetized electron ion plasma, the shielding potential in the presence of an ion acoustic mode around a test charge has been studied using a kinetic model incorporating electron quantization effects. Electron quantization effects not only modify the dielectric response function of the ion-acoustic waves but also affect the Debye shielding potential and wake field potential significantly. It is observed that the quantization factor enhances the Debye shielding potential but reduces the wake field potential. For practical applications, the results have been studied for astrophysical plasmas.