Quantenstatistik des Hochtemperatur‐Plasmas im thermodynamischen Gleichgewicht. II. Die freie Energie im Temperaturbereich 10 6 bis 10 8 °K

In this paper the theory, given in part I, is continued. In the region of temperatures and density, where the fundamental lengths of the plasma are ordered as \documentclass{article}\pagestyle{empty}\begin{document}$ \lambda _{ii} < {\textstyle{{e^2} \over {kT}}} < \lambda _{ee} $\end{document} and where n e λ   ee 2≪ 1, quantum corrections to the classical Debye‐Hückel free energy of an electron‐ion‐plasma are calculated explicitely. Here n e is the electron density; λ ee and λ ii are the thermal wavelengths of the electrons and ions, respectively. The above assumptions are valid for temperatures between 10 6 and 10 8 °K and electron densities n e < 10 25 cm −3 . The effects of symmetry are taken into account. The relation between our results and those derived by DeWitt, Trubnikow and Elesin is discussed.