A Thesis Presented to the Faculty of the University of Alaska in Partial Fulfillment of the Requirements for the Degree of Doctor of PhilosophySummary -- Chapter I Statistical Mechanical Theory : A. Classical Theory; B. Quantum Theory ; C. Phase Space Representation of Quantum Mechanics ; D. Spin and Statistics ; E. Equilibrium -- Chapter II Transport Phenomena in a System Composed of Charged Particles : A. Hamiltonian Description ; B. Maxwell's Equations ; C. Hydromagnetic Equations -- Chapter III Equilibrium Properties of a Fully Ionized Gas: A. Classical Theory ; B. Quantum Theory -- Chapter IV The Effective Potential : A. Introduction ; B. The Effective Potential ; C. Asymptotic Solutions -- Chapter V Kinetic Theory Integrals : A. Introduction; B. Asymptotic Theory of Scattering ; C. Numerical Evaluation of Stieltjes Integrals -- Acknowledgements -- Appendix I McCoy's Theorem -- Appendix II The Operator -- Appendix III Phase Space Treatment of the Simple Harmonic Oscillator -- BibliographyYe
