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Electrodynamics of a two-electron atom with retardation and self-interaction effects

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Jayme De Luca

chao-dyn · Submitted 27 Oct 1997

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

The authors' main claim We discuss how the linear stability results can be used to construct a resonant normal form constant of motion, which is important for the short time stability of the orbits (e.g. emission of sharp spectral lines).

how it is stated · asserted 0.80 read the record →

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arXiv IDchao-dyn/9710021 (version 3)
Pith IDTNEW2Z2L, Pith's permanent record of this paper and its review
CitationJayme De Luca. "Electrodynamics of a two-electron atom with retardation and self-interaction effects." arXiv:chao-dyn/9710021 (1997). https://pith.science/paper/TNEW2Z2L
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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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,607 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.91 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We study the linear stability of a circular orbit in a two-electron atom, with the inclusion of retardation and self-interaction effects. We calculate all the eigenvalues of the linear stability of the circular orbit, expanded up to third order in (v/c). We discuss how the linear stability results can be used to construct a resonant normal form constant of motion, which is important for the short time stability of the orbits (e.g. emission of sharp spectral lines). We calculate the magnitudes related to some of those orbits and compare to the quantum atomic results.

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 We study the linear stability of a circular orbit in a two-electron atom, with the inclusion of retardation and self-interaction effects. contribution 0.99 0.93 0.06 asserted 0.89
s1 We calculate all the eigenvalues of the linear stability of the circular orbit, expanded up to third order in (v/c). result 0.40 0.96 0.12 asserted 1.00
s2 We discuss how the linear stability results can be used to construct a resonant normal form constant of motion, which is important for the short time stability of the orbits (e.g. emission of sharp spectral lines). interpretation 0.88 0.80 0.23 asserted 0.80
s3 We calculate the magnitudes related to some of those orbits and compare to the quantum atomic results. result 0.57 0.93 0.12 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.91.

What was examined, and what was not

sources read
  • arXiv listing abstract v3
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • 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

We study the linear stability of a circular orbit in a two-electron atom, with the inclusion of retardation and self-interaction effects. We calculate all the eigenvalues of the linear stability of the circular orbit, expanded up to third order in (v/c). We discuss how the linear stability results can be used to construct a resonant normal form constant of motion, which is important for the short time stability of the orbits (e.g. emission of sharp spectral lines). We calculate the magnitudes related to some of those orbits and compare to the quantum atomic results.

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