CONNECTED-DIAGRAM EXPANSION OF TRANSPORT COEFFICIENTS, II. QUANTUM GAS OBEYING CLASSICAL STATISTICS.
OREGON UNIV EUGENE DEPT OF PHYSICS
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A connected-diagram expansion method is applied in the evaluation of the correlation function formulas for transport coefficients of an imperfect quantum gas obeying the classical statistics. The diagram expansion is independent of representation and could be applied to charged particles subjected to a magnetic field. The formal fugacity expansion of a transport coefficient is obtained in terms of the solution of a transport equation, which is in general linear and inhomogeneous. This expansion is in agreement with that derived by Kawasaki and Oppenheim, Phys. Rev. 139, A649 1965, for a classical gas except for part of the field term. This formal expansion has a divergence difficulty. This difficulty can be eliminated by the summation of partial infinite fagacity series. It is shown that after the elimination of the difficulty, the expansion in powers of the density should be approximately valid at least in the first few orders. Terms in the combination of n density and ln n do not arise. Author
- Quantum Theory and Relativity