dorsal/arxiv
View SchemaExtended Thomas-Fermi approximation to the one-body density matrix
| Authors | V. B. Soubbotin, X. Vinas |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9902039 |
| URL | https://arxiv.org/abs/nucl-th/9902039 |
| DOI | 10.1016/S0375-9474(99)00558-8 |
| Journal | Nucl.Phys. A665 (2000) 291-317 |
Abstract
The one-body density matrix is derived within the Extended Thomas-Fermi approximation. This has been done starting from the Wigner-Kirkwood distribution function for a non-local single-particle potential. The links between this new approach to the density matrix with former ones available in the literature are widely discussed. The semiclassical Hartree-Fock energy at Extended Thomas-Fermi level is also obtained in the case of a non-local one-body Hamiltonian. Numerical applications are performed using the Gogny and Brink-Boeker effective interactions. The semiclassical binding energies and root mean square radii are compared with the fully quantal ones and with those obtained using the Strutinsky averaged method.
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"abstract": "The one-body density matrix is derived within the Extended Thomas-Fermi\napproximation. This has been done starting from the Wigner-Kirkwood\ndistribution function for a non-local single-particle potential. The links\nbetween this new approach to the density matrix with former ones available in\nthe literature are widely discussed. The semiclassical Hartree-Fock energy at\nExtended Thomas-Fermi level is also obtained in the case of a non-local\none-body Hamiltonian. Numerical applications are performed using the Gogny and\nBrink-Boeker effective interactions. The semiclassical binding energies and\nroot mean square radii are compared with the fully quantal ones and with those\nobtained using the Strutinsky averaged method.",
"arxiv_id": "nucl-th/9902039",
"authors": [
"V. B. Soubbotin",
"X. Vinas"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(99)00558-8",
"journal_ref": "Nucl.Phys. A665 (2000) 291-317",
"title": "Extended Thomas-Fermi approximation to the one-body density matrix",
"url": "https://arxiv.org/abs/nucl-th/9902039"
},
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