Energy levels in hydrogen plasmas and the Planck-Larkin partition function - A comment

On the ionization equilibrium of hot hydrogen plasma and thermodynamic consistency of formulating finite internal partition functions

“…In a response to Rouse's criticism, Ebeling et al in Ref. [9] recommended, for quantum statistical Coulomb system with bound states, the use of the discrete energy states of the Bethe-Salpeter equation (BSE) in the PLPF in for the later to become temperature-and density-dependent. Following to Ebeling et al response to Rouse's criticism, Rogers in Ref.…”

On the calculation of equilibrium thermodynamic properties and the establishment of statistical-thermodynamically-consistent finite bound-state partition functions in nonideal multicomponent plasma mixtures within the chemical model

“…The final forms in Eq. (14) and Eq. (15) can now be easily compared with the entropy and free energy expressions given by HM (Eq.…”

“…[2]), for the low-density case (following Boltzmann distribution and no particle interaction), where now it is clear that the last terms in Eq. (14) and Eq. (15) were not included in the HM work (for the duration of this comparison, one keeps in mind that ω i =1 for all species).…”

“…(9) as given by Eq. (14) and Eq. (15) (with ω i =1) to represent an excited monatomic gas following Boltzmann distribution with no particle interaction (note that it can not be called a monatomic perfect gas in this case).…”

“…In a response to Rouse's criticism, Ebeling et al in Ref. [14] recommended the use of the discrete energy states of the Bethe-Salpeter equation (BSE) in the PLPF, for quantum statistical Coulomb system with bound states, in order for the latter to become temperature-and density-dependent. Following to Ebeling's et al response to Rouse's criticism, Rogers in Ref.…”