CONNECTED-DIAGRAM EXPANSION OF TRANSPORT COEFFICIENTS, II. QUANTUM GAS OBEYING CLASSICAL STATISTICS.

Abstract

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)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0628248

Entities

People

  • S. Fujita

Organizations

  • University of Oregon

Tags

DTIC Thesaurus Topics

  • Agreements
  • Boltzmann Equation
  • Charged Particles
  • Coefficients
  • Computing-Related Activities
  • Data Science
  • Elimination
  • Equations
  • Information Science
  • Interdisciplinary Science
  • Magnetic Fields
  • Mathematical Analysis
  • Mathematics
  • Statistical Analysis
  • Statistics
  • Transport Ships

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing