Elsevier

Physica

Volume 59, Issue 2, 15 May 1972, Pages 187-205
Physica

Logarithmic term in the density expansion of quantum transport coefficients and other response functions

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Abstract

Using tetradic algebraic methods, it is shown that the triple-collision contribution to the quantum diffusion constant and the linear absorption coefficient for foreign-gas pressure broadening (for an isolated spectral line at the zero-density resonance frequency) diverges in two dimensions. Suitable extension to quantum systems of the classical resummation technique of Kawasaki and Oppenheim is shown to lead to a term logarithmic in the gas density. The effect of the resummation is to replace the free-particle resolvent tetradic by a damped free-particle resolvent tetradic. The relation of the damping term to the relevant differential scattering cross sections is considered.

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A portion of this work was supported by the National Science Foundation.

Present address: National Bureau of Standards, Washington, D.C. 20234, U.S.A.

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