Ionization equilibrium of a magnetized quantum plasma

The influence of a constant uniform magnetic field on the ionization equili brium and the thermodynamic properties of a nondegenerate partially ionized hydrogen plasma is studied for weak and strong magnetic fields. A simple i nterpolation formula for an effective partition function is proposed, conne cting the the low- and high-field results. Furthermore, a closed analytical approximation for the thermodynamic functions in the chemical picture and a Saha equation for weakly and strongly magnetized plasmas are presented.