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Extended Thomas-Fermi approximation to the one-body density matrix

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V.B.Soubbotin, X.Vinas

Nuclear Theory · Submitted 17 Feb 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The one-body density matrix is derived within the Extended Thomas-Fermi approximation.

how it is stated · asserted 1.00 read the record →

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arXiv IDnucl-th/9902039 (version 1)
Pith IDF77U3OYB, Pith's permanent record of this paper and its review
CitationV.B.Soubbotin, X.Vinas. "Extended Thomas-Fermi approximation to the one-body density matrix." arXiv:nucl-th/9902039 (1999). https://pith.science/paper/F77U3OYB
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,799 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.38 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.97 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The one-body density matrix is derived within the Extended Thomas-Fermi approximation. contribution 0.93 0.90 0.40 asserted 1.00
s1 This has been done starting from the Wigner-Kirkwood distribution function for a non-local single-particle potential. method 0.99 0.78 0.07 asserted 1.00
s2 The links between this new approach to the density matrix with former ones available in the literature are widely discussed. contribution 0.54 0.63 0.08 asserted 0.98
s3 The semiclassical Hartree-Fock energy at Extended Thomas-Fermi level is also obtained in the case of a non-local one-body Hamiltonian. contribution 0.71 0.91 0.13 asserted 1.00
s4 Numerical applications are performed using the Gogny and Brink-Boeker effective interactions. method 0.98 0.93 0.04 asserted 1.00
s5 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. result 0.53 0.90 0.19 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 0.82 · evidence from proof or derivation 0.72.

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  • P abstract
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  • T body sentences
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original 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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