dorsal/arxiv
View SchemaAn extended Vlasov equation with pairing correlations
| Authors | V. I. Abrosimov, D. M. Brink, A. Dellafiore, F. Matera |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0610087 |
| URL | https://arxiv.org/abs/nucl-th/0610087 |
Abstract
A simplified version of the Wigner--transformed time--dependent Hartree--Fock--Bogoliubov equations, leading to a solvable model for finite systems of fermions with pairing correlations, is introduced. In this model, pairing correlations result in a coupling of the Vlasov--type equation for the normal phase--space density with that for the imaginary part of the anomalous density. The effect of pairing correlations on the linear response of the system is studied for a finite one--dimensional system and an explicit expression for the correlated propagator is given.
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"date_created": "2026-03-02T18:00:10.819000Z",
"date_modified": "2026-03-02T18:00:10.819000Z",
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"abstract": "A simplified version of the Wigner--transformed time--dependent\nHartree--Fock--Bogoliubov equations, leading to a solvable model for finite\nsystems of fermions with pairing correlations, is introduced. In this model,\npairing correlations result in a coupling of the Vlasov--type equation for the\nnormal phase--space density with that for the imaginary part of the anomalous\ndensity. The effect of pairing correlations on the linear response of the\nsystem is studied for a finite one--dimensional system and an explicit\nexpression for the correlated propagator is given.",
"arxiv_id": "nucl-th/0610087",
"authors": [
"V. I. Abrosimov",
"D. M. Brink",
"A. Dellafiore",
"F. Matera"
],
"categories": [
"nucl-th"
],
"title": "An extended Vlasov equation with pairing correlations",
"url": "https://arxiv.org/abs/nucl-th/0610087"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "28539468-0586-4e50-af61-752ada54e14a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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