Statistical mechanics of 'atoms' in hot, partially ionized matter The theory of the one electron Green function

Physics – Condensed Matter – Statistical Mechanics

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Equilibrium Equations, Green'S Functions, Hartree Approximation, High Temperature Plasmas, Statistical Mechanics, Transport Properties, Atomic Excitations, Mathematical Models, Particle Theory, Perturbation Theory, Reference Systems

Scientific paper

The calculation of the one-particle electron Green function to determine the statistical mechanics of atoms in hot, condensed matter of arbitrary degeneracies is described. The role of the Green function for determining the equilibrium and transport properties of a many-particle system is outlined using an all-order theory and nonstandard commutation rules for the operators. Static-field effects are incorporated in a form of the Hartree-Fock model for defining a one-dimensional reference system, using appropriate initial conditions. Perturbation theory, with a corresponding pseudo-potential, is employed to treat the continuum states. A mean field approximation is obtained from the model and zeroth-order Green functions are formulated, along with expressions for the mass operator. Electron and ion-distribution inhomogeneities are explicitly included in the theory.

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