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Variational Density Matrix Method for Warm Condensed Matter and Application to Dense Hydrogen

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Burkhard Militzer, E. L. Pollock

Plasma Physics · Submitted 8 Oct 1999

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

The authors' main claim A new variational principle for optimizing thermal density matrices is introduced.

how it is stated · asserted 1.00 read the record →

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arXiv IDphysics/9910009 (version 1)
Pith IDTWCOWJU6, Pith's permanent record of this paper and its review
CitationBurkhard Militzer, E. L. Pollock. "Variational Density Matrix Method for Warm Condensed Matter and Application to Dense Hydrogen." arXiv:physics/9910009 (1999). https://pith.science/paper/TWCOWJU6
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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, 3,592 input tokens.

What the abstract itself states, as probabilities: claims first 0.17 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

A new variational principle for optimizing thermal density matrices is introduced. As a first application, the variational many body density matrix is written as a determinant of one body density matrices, which are approximated by Gaussians with the mean, width and amplitude as variational parameters. The method is illustrated for the particle in an external field problem, the hydrogen molecule and dense hydrogen where the molecular, the dissociated and the plasma regime are described. Structural and thermodynamic properties (energy, equation of state and shock Hugoniot) are presented.

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 A new variational principle for optimizing thermal density matrices is introduced. contribution 0.98 0.93 0.21 asserted 1.00
s1 As a first application, the variational many body density matrix is written as a determinant of one body density matrices, which are approximated by Gaussians with the mean, width and amplitude as variational parameters. method 0.97 0.92 0.10 asserted 1.00
s2 The method is illustrated for the particle in an external field problem, the hydrogen molecule and dense hydrogen where the molecular, the dissociated and the plasma regime are described. contribution 0.63 0.91 0.17 asserted 1.00
s3 Structural and thermodynamic properties (energy, equation of state and shock Hugoniot) are presented. result 0.98 0.91 0.20 asserted 0.99

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from simulation or computation 0.97.

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  • references and citing sentences
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  • R cross-paper relations

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

A new variational principle for optimizing thermal density matrices is introduced. As a first application, the variational many body density matrix is written as a determinant of one body density matrices, which are approximated by Gaussians with the mean, width and amplitude as variational parameters. The method is illustrated for the particle in an external field problem, the hydrogen molecule and dense hydrogen where the molecular, the dissociated and the plasma regime are described. Structural and thermodynamic properties (energy, equation of state and shock Hugoniot) are presented.

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