Two-body collisions and mean-field theory: The Brueckner-Boltzmann equation

Wim Botermans, Rudi Malfiet

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    Starting from the BBGKY hierarchy of density matrices, a quantum mechanical Boltzmann equation, including a mean field, is derived. Both the mean field, which is of the well-known Brueckner-Hartree-Fock form, as well as the collision term are expressed in terms of the self-consistent Brueckner G-matrix. The relation with the generalized Boltzmann equation of Kadanoff and Baym is discussed. It is shown that the usual quantum mechanical theories like TDHF and Uehling-Uhlenbeck appear as limiting cases
    Original languageEnglish
    Pages (from-to)22-27
    Number of pages6
    JournalPhysics Letters B
    Issue number1
    Publication statusPublished - 17-Apr-1986

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