A new quantum statistical evaluation method for time correlation functions |
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Authors: | D Loss H Schoeller |
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Institution: | (1) Institut für Theoretische Physik der Universität Zürich, CH-8001 Zürich, Switzerland |
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Abstract: | Considering a system ofN identical interacting particles, which obey Fermi-Dirac or Bose-Einstein statistics, we derive new formulas for correlation functions of the type
(whereB
j is diagonal in the free-particle states) in the thermodynamic limit. Thereby we apply and extend a superoperator formalism, recently developed for the derivation of long-time tails in semiclassical systems. As an illustrative application, the Boltzmann equation value of the time-integrated correlation functionC(t) is derived in a straightforward manner. Due to exchange effects, the obtained t-matrix and the resulting scattering cross section, which occurs in the Boltzmann collision operator, are now functionals of the Fermi-Dirac or Bose-Einstein distribution. |
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Keywords: | Time correlation functions Liouville operators cluster expansion exchange effects |
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