الفهرس 
Green’s functions and semiclassical limitOnly 14 pages are availabe for public view
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Abstract
In this thesis, we calculated the quantum thermodynamic functions of plasma, such
as equation of state, osmotic pressure and excess free energy as well as the
distribution functions, by using Green’s function technique. We used this technique
by the fact that thermodynamic functions can be calculated from the mean value of
the potential energy according to a general quantum statistical formula. It should be
pointed out that the mean value potential is given in terms of wave functions, Green’s
functions, screened potential, Hartree and Hartree-Fock approximation. Also, the
screened potential was used in deriving the previous mentioned thermodynamic
functions.
On the other hand, we calculated the excess free energy and the osmotic pressure
until the third virial coefficient for one and two component plasma. In special case for
the one component plasma (OCP) (the model of identical point charges immersed in a
uniform background, while the continuous charge density of the background is chosen
to be equal and opposite to the average charge density of the point charges, so that the
system as a whole is electrically neutral) for example the electron gas .
Also, the model under our consideration is a two-component plasma (TCP)
; i.e. neutral system of point like particles of positive and negative charges.
We plotted the curves, which illustrate the results in terms of the plasma parameters
and compared our results with other well known results in the low density. The
quantum excess energy results, until the third virial coefficient, were compared with
other results for one and two component plasma
We obtained the quantum binary and triplet distribution functions in terms of Green’s
functions technique. The triplet distribution function was calculated in two form; one
of them is based on the Kirkwood Superposition Approximation (KSA) which
assumes that the potential in a set of three particles is the sum of three pair potentials,
this is equivalent to assuming that the triplet distribution function is the product of the
three binary distribution functions. The other form was calculated by integrating the
triplet distribution function by using the mean value potential. The results were given
in terms of the Born parameter
. Also, we calculated the distribution
functions in terms of the distance between two charges r by using the screened
potential. Lastly, the numerical calculations for the electron gas were also given.