dorsal/arxiv
View SchemaFinite Temperature Many-Body Theory with the Lipkin Model
| Authors | S. Y. Tsay Tzeng, P. J. Ellis, T. T. S. Kuo, E. Osnes |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9308001 |
| URL | https://arxiv.org/abs/nucl-th/9308001 |
| DOI | 10.1016/0375-9474(94)90774-9 |
| Journal | Nucl.Phys. A580 (1994) 277-290 |
Abstract
We have compared exact numerical results for the Lipkin model at finite temperature with Hartree-Fock theory and with the results of including in addition the ring diagrams. In the simplest version of the Lipkin model the Hartree-Fock approach shows a ``phase transition" which is absent in the exact results. For more realistic cases, Hartree-Fock provides a very good approximation and a modest improvement is obtained by adding the ring diagrams.
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"abstract": "We have compared exact numerical results for the Lipkin model at finite\ntemperature with Hartree-Fock theory and with the results of including in\naddition the ring diagrams. In the simplest version of the Lipkin model the\nHartree-Fock approach shows a ``phase transition\" which is absent in the exact\nresults. For more realistic cases, Hartree-Fock provides a very good\napproximation and a modest improvement is obtained by adding the ring diagrams.",
"arxiv_id": "nucl-th/9308001",
"authors": [
"S. Y. Tsay Tzeng",
"P. J. Ellis",
"T. T. S. Kuo",
"E. Osnes"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(94)90774-9",
"journal_ref": "Nucl.Phys. A580 (1994) 277-290",
"title": "Finite Temperature Many-Body Theory with the Lipkin Model",
"url": "https://arxiv.org/abs/nucl-th/9308001"
},
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