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Comment on: "On the Dirac oscillator subject to a Coulomb-type central potential induced by the Lorentz symmetry violation"

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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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Francisco M. Fernández

Quantum Physics · Submitted 13 Jan 2021

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

The authors' main claim For this reason the eigenvalues reported by the authors are useless and the prediction of allowed oscillator frequencies meaningless.

how it is stated · asserted 1.00 read the record →

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arXiv ID2101.06117 (version 1)
Pith IDLMYK2ZX7, Pith's permanent record of this paper and its review
CitationFrancisco M. Fern\'andez. "Comment on: "On the Dirac oscillator subject to a Coulomb-type central potential induced by the Lorentz symmetry violation"." arXiv:2101.06117 (2021). https://pith.science/paper/LMYK2ZX7
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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, 2,866 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.80 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We analyze recent results on a Dirac oscillator. We show that the truncation of the Frobenius series does not yield all the eigenvalues and eigenfunctions of the radial equation. For this reason the eigenvalues reported by the authors are useless and the prediction of allowed oscillator frequencies meaningless.

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 analyze recent results on a Dirac oscillator. contribution 0.77 0.81 0.03 asserted 0.80
s1 We show that the truncation of the Frobenius series does not yield all the eigenvalues and eigenfunctions of the radial equation. result 0.99 0.87 0.64 asserted 1.00
s2 For this reason the eigenvalues reported by the authors are useless and the prediction of allowed oscillator frequencies meaningless. interpretation 0.98 0.41 0.75 asserted 1.00

What kind of paper the classifier reports this is: position or commentary 1.00 · evidence from proof or derivation 0.85.

What was examined, and what was not

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  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • 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 analyze recent results on a Dirac oscillator. We show that the truncation of the Frobenius series does not yield all the eigenvalues and eigenfunctions of the radial equation. For this reason the eigenvalues reported by the authors are useless and the prediction of allowed oscillator frequencies meaningless.

Human review

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What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 11 sentences without a confident label

Contests 3 papers
  • For this reason the eigenvalues reported by Vitória and Belich [ref] are meaningless unless one is able to arrange them carefully as shown in present Figure [ref] and earlier papers [ref] .

    On some conditionally solvable quantum-mechanical problems · Introduction · contest 0.92

  • For this reason the eigenvalues reported by Vitória and Belich [ref] are meaningless unless one is able to arrange them carefully as shown in present Figure [ref] and earlier papers [ref] .

    The rotating harmonic oscillator revisited · Introduction · contest 0.92

  • For this reason the eigenvalues reported by Vitória and Belich [ref] are meaningless unless one is able to arrange them carefully as shown in present Figure [ref] and earlier papers [ref] .

    The truncated Coulomb potential revisited · Introduction · contest 0.92

Cites as background 1 paper
  • In a recent paper Vitória and Belich [ref] investigated the relativistic oscillator model for spin-1/2 fermionic fields, known as the Dirac oscillator, in a background of breaking the Lorentz symmetry governed by a constant vector field inserted in the Dirac equation by non-minimal coupling.

    The rotating harmonic oscillator revisited · Introduction · 0.88

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