dorsal/arxiv
View SchemaThe N-representability problem, the pseudo-spectral decomposition of antisymmetric 1-body operators, and collective behaviour
| Authors | Hubert Grudzinski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9504011 |
| URL | https://arxiv.org/abs/quant-ph/9504011 |
| DOI | 10.1016/0034-4877(96)89765-5 |
Abstract
The pseudo--spectral decomposition of an $N$--particle antisymmetric 1--body positive--semidefinite operator that corresponds to the canonical convex decomposition into the extreme elements of the dual cone of the set of fermion $N$--representable $1$--density operators has been derived. An attempt at constucting a mathematical model for collective behaviour of a system of $N$--fermions that originates from the pseudo--spectral decomposition is presented.
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"abstract": "The pseudo--spectral decomposition of an $N$--particle antisymmetric 1--body\npositive--semidefinite operator that corresponds to the canonical convex\ndecomposition into the extreme elements of the dual cone of the set of fermion\n$N$--representable $1$--density operators has been derived. An attempt at\nconstucting a mathematical model for collective behaviour of a system of\n$N$--fermions that originates from the pseudo--spectral decomposition is\npresented.",
"arxiv_id": "quant-ph/9504011",
"authors": [
"Hubert Grudzinski"
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"doi": "10.1016/0034-4877(96)89765-5",
"title": "The N-representability problem, the pseudo-spectral decomposition of antisymmetric 1-body operators, and collective behaviour",
"url": "https://arxiv.org/abs/quant-ph/9504011"
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