Space-time versus particle-hole symmetry in quantum Enskog equations

Details Space-time versus particle-hole symmetry in quantum Enskog equations Space-time versus particle-hole symmetry in quantum Enskog equations

2000-12-12

arxiv.org/abs/nucl-th/0012040v2

Phys.Rev. E64 (2001) 046107

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1103/PhysRevE.64.046107

The non-local scattering-in and -out integrals of the Enskog equation have reversed displacements of colliding particles reflecting that the -in and -out processes are conjugated by the space and time inversions. Generalisations of the Enskog equation to Fermi liquid systems are hindered by a request of the particle-hole symmetry which contradicts the reversed displacements. We resolve this problem with the help of the optical theorem. It is found that space-time and particle-hole symmetry can only be fulfilled simultaneously for the Bruckner-type of internal Pauli-blocking while the Feynman-Galitskii form allows only for particle-hole symmetry but not for space-time symmetry due to a stimulated emission of Bosons.

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