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An Algebraic q-Deformed Form for Shape-Invariant Systems

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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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A.N.F. Aleixo (Rio de Janeiro Federal U.), A.B. Balantekin (Wisconsin U., Madison), M.A. Candido Ribeiro (Sao Paulo, IFT)

Mathematical Physics · Submitted 9 Oct 2003

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

The authors' main claim A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath-ph/0310015 (version 1)
Pith IDODFFUWK7, Pith's permanent record of this paper and its review
CitationA.B. Balantekin (Wisconsin U., A.N.F. Aleixo (Rio de Janeiro Federal U.), IFT), M.A. Candido Ribeiro (Sao Paulo, Madison). "An Algebraic q-Deformed Form for Shape-Invariant Systems." arXiv:math-ph/0310015 (2003). https://pith.science/paper/ODFFUWK7
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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, 2,935 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.17 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. We show these new ladder operators satisfy new q-deformed commutation relations. In this context we construct an alternative q-deformed model that preserve the shape-invariance property presented by primary system. q-deformed generalizations of Morse, Scarf, and Coulomb potentials are given as examples.

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 quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. contribution 0.98 0.91 0.34 asserted 1.00
s1 We show these new ladder operators satisfy new q-deformed commutation relations. result 0.83 0.94 0.21 asserted 1.00
s2 In this context we construct an alternative q-deformed model that preserve the shape-invariance property presented by primary system. q-deformed generalizations of Morse, Scarf, and Coulomb potentials are given as examples. contribution 0.90 0.91 0.27 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.79 · evidence from proof or derivation 1.00.

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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

A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. We show these new ladder operators satisfy new q-deformed commutation relations. In this context we construct an alternative q-deformed model that preserve the shape-invariance property presented by primary system. q-deformed generalizations of Morse, Scarf, and Coulomb potentials are given as examples.

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