✦ LIBER ✦

Multispinor basis of fermi-Bose transformations: Julian Schwinger, University of California at Los Angeles, Los Angeles, California 90024

Book ID: 102634707
Publisher: Elsevier Science
Year: 1979
Tongue: English
Weight: 111 KB
Volume: 118
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(79)90245-8

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✦ Synopsis

A binary collision approximation is used to close the second equation of the BBGKY hierarchy for the reduced density matricies, providing a simple but accurate description of the equilibrium and non-equilibrium properties of a low-density quantum gas. In particular, the resulting approximate equations describe the degeneracy effects associated with Bose-Einstein or Fermi-Dirac statistics. The equilibrium two-particle density matrix and pressure agree with those implied by Martin and Schwinger for strong degeneracy and with those of Beth and Uhlenbeck for weak degeneracy. For non-equilibrium properties, solution of the equation for the two-particle density matrix allows closure of the first equation, resulting in a prototype of the non-linear Boltzmann or Uehling-Uhlenbeck kinetic equation. Limits leading to these latter equations are discussed.

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