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CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C

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B. Bagchi, A. Banerjee, E. Caliceti, F. Cannata, H. B. Geyer, C. Quesne, M. Znojil

High Energy Physics - Theory · Submitted 18 Dec 2004

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

The authors' main claim The integrability of intertwining relations proves to match the closure of nonlinear SUSY algebra.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0412211 (version 1)
Pith IDNF2KPQHU, Pith's permanent record of this paper and its review
CitationA. Banerjee, B. Bagchi, C. Quesne, E. Caliceti, F. Cannata, H. B. Geyer, M. Znojil. "CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C." arXiv:hep-th/0412211 (2004). https://pith.science/paper/NF2KPQHU
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,249 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.22 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · 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 brief overview is given of recent developments and fresh ideas at the intersection of PT and/or CPT-symmetric quantum mechanics with supersymmetric quantum mechanics (SUSY QM). We study the consequences of the assumption that the "charge" operator C is represented in a differential-operator form. Besides the freedom allowed by the Hermiticity constraint for the operator CP, encouraging results are obtained in the second-order case. The integrability of intertwining relations proves to match the closure of nonlinear SUSY algebra. In an illustration, our CPT-symmetric SUSY QM leads to non-Hermitian polynomial oscillators with real spectrum which turn out to be PT-asymmetric.

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 brief overview is given of recent developments and fresh ideas at the intersection of PT and/or CPT-symmetric quantum mechanics with supersymmetric quantum mechanics (SUSY QM). background 0.99 0.19 0.04 asserted 0.80
s1 We study the consequences of the assumption that the "charge" operator C is represented in a differential-operator form. contribution 0.88 0.70 0.05 asserted 0.76
s2 Besides the freedom allowed by the Hermiticity constraint for the operator CP, encouraging results are obtained in the second-order case. result 0.99 0.86 0.11 asserted 0.93
s3 The integrability of intertwining relations proves to match the closure of nonlinear SUSY algebra. result 0.95 0.84 0.27 asserted 1.00
s4 In an illustration, our CPT-symmetric SUSY QM leads to non-Hermitian polynomial oscillators with real spectrum which turn out to be PT-asymmetric. result 0.99 0.90 0.37 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.88 · evidence from proof or derivation 0.98.

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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 brief overview is given of recent developments and fresh ideas at the intersection of PT and/or CPT-symmetric quantum mechanics with supersymmetric quantum mechanics (SUSY QM). We study the consequences of the assumption that the "charge" operator C is represented in a differential-operator form. Besides the freedom allowed by the Hermiticity constraint for the operator CP, encouraging results are obtained in the second-order case. The integrability of intertwining relations proves to match the closure of nonlinear SUSY algebra. In an illustration, our CPT-symmetric SUSY QM leads to non-Hermitian polynomial oscillators with real spectrum which turn out to be PT-asymmetric.

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