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{\large \bf Thermodynamic Functions of Dense Quantum Plasmas}\\[2ex]
J. Vorberger, M. Schlanges, W.D. Kraeft\\[0.5ex]
{\small Institut f\"ur Physik, Ernst-Moritz-Arndt-Universit\"at Greifswald,
Germany}\\[3ex]
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There is an increasing progress in the field of
experimental research of dense plasmas relevant for inertially confined
fusion and astrophysics. This leads to a growing interest in
theoretical investigations concerning the equation of state (EOS) of
dense plasmas. Here, recently obtained simulation
data which account for quantum effects are of special interest.
An essential challenge is their agreement with analytical results
obtained by quantum statistical theory in limiting cases.
In this contribution, Green's function technique is applied to
calculate the EOS for weakly coupled plasmas. Especially, the
Montroll--Ward approximation is used to cover the density--temperature
region where correlations as well as Fermi statistics have to be taken
into account. First, a high density expansion for the thermodynamic
functions of two--component plasmas is presented.
Then, to get reliable results for weakly coupled plasmas without
restrictions with respect to the degeneracy, the EOS in Montroll--Ward
approximation is calculated by numerical evaluation.
Results for an electron gas and for hydrogen are given to discuss
the influence of correlations and quantum effects.
Finally, we compare our numerical results with recent Path
Integral Monte Carlo data obtained by Militzer [1].
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 $[1]$ B. Militzer, {\it PhD}, University of Illinois, Urbana, 2000.
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