dorsal/arxiv
View SchemaSpace-time versus particle-hole symmetry of collisions in a non-local kinetic equation for dense Fermi systems
| Authors | Václav Špička, Pavel Lipavský, Klaus Morawetz |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9902045 |
| URL | https://arxiv.org/abs/nucl-th/9902045 |
Abstract
Binary collisions in Fermi systems obey two fundamental symmetries corresponding to the space and time inversion and to the interchange of particles and holes. We show that beyond the local and instant approximation of scattering-in and -out integrals of a kinetic equation, only one of symmetries can be explicit while the other has to be covered by a constraint. This constraint, derived from the optical theorem, allows one to convert at need an explicit particle-hole symmetric form to the space-time symmetric form and vice versa. We implement this constraint to heavy ion reactions, where simulation algorithms require the space-time symmetry while former theories offer kinetic equations with the explicit particle-hole symmetry.
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"date_created": "2026-03-02T18:00:25.314000Z",
"date_modified": "2026-03-02T18:00:25.314000Z",
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"abstract": "Binary collisions in Fermi systems obey two fundamental symmetries\ncorresponding to the space and time inversion and to the interchange of\nparticles and holes. We show that beyond the local and instant approximation of\nscattering-in and -out integrals of a kinetic equation, only one of symmetries\ncan be explicit while the other has to be covered by a constraint. This\nconstraint, derived from the optical theorem, allows one to convert at need an\nexplicit particle-hole symmetric form to the space-time symmetric form and vice\nversa. We implement this constraint to heavy ion reactions, where simulation\nalgorithms require the space-time symmetry while former theories offer kinetic\nequations with the explicit particle-hole symmetry.",
"arxiv_id": "nucl-th/9902045",
"authors": [
"V\u00e1clav \u0160pi\u010dka",
"Pavel Lipavsk\u00fd",
"Klaus Morawetz"
],
"categories": [
"nucl-th"
],
"title": "Space-time versus particle-hole symmetry of collisions in a non-local kinetic equation for dense Fermi systems",
"url": "https://arxiv.org/abs/nucl-th/9902045"
},
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"execution_id": "450567b5-620b-43fa-827e-c118417488b2",
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"variant": "snapshot-2026-03-01",
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