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The Quantum Mechanics SUSY Algebra: An Introductory Review

High Energy Physics - Theory · Submitted 2 May 2002

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

The authors' main claim The N=2 supersymmetry algebra is associated to one-component and two-component eigenfunctions considered in the Schr\"odinger picture of Nonrelativistic Quantum Mechanics.

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arXiv IDhep-th/0205017 (version 6)
Pith IDF4CSPNDG, Pith's permanent record of this paper and its review
CitationR. de Lima Rodrigues. "The Quantum Mechanics SUSY Algebra: An Introductory Review." arXiv:hep-th/0205017 (2002). https://pith.science/paper/F4CSPNDG
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,911 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.04 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v6. Results and the main claim are underlined; .

Starting with the Lagrangian formalism with N=2 supersymmetry in terms of two Grassmann variables in Classical Mechanics, the Dirac canonical quantization method is implemented. The N=2 supersymmetry algebra is associated to one-component and two-component eigenfunctions considered in the Schr\"odinger picture of Nonrelativistic Quantum Mechanics. Applications are contemplated.

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 Starting with the Lagrangian formalism with N=2 supersymmetry in terms of two Grassmann variables in Classical Mechanics, the Dirac canonical quantization method is implemented. method 0.97 0.75 0.05 asserted 0.98
s1 The N=2 supersymmetry algebra is associated to one-component and two-component eigenfunctions considered in the Schr\"odinger picture of Nonrelativistic Quantum Mechanics. contribution 0.48 0.34 0.15 asserted 1.00
s2 Applications are contemplated. future work 0.53 0.21 0.06 hedged possibility 0.51

What kind of paper the classifier reports this is: review 0.91 · evidence from proof or derivation 0.96.

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  • C citations
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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

Starting with the Lagrangian formalism with N=2 supersymmetry in terms of two Grassmann variables in Classical Mechanics, the Dirac canonical quantization method is implemented. The N=2 supersymmetry algebra is associated to one-component and two-component eigenfunctions considered in the Schr\"odinger picture of Nonrelativistic Quantum Mechanics. Applications are contemplated.

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References
How the literature uses it

3 arXiv papers cite this in 4 sentences

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

Papers citing it · 1 sentence without a confident label

Cites it as background 2 papers
  • $N=2$ Supersymmetric Quantum Mechanics (SQM), [ref] – [ref] being originally introduced as a tool for studying of the problem of supersymmetry breaking in more complicated supersymmetric field theories, has many interesting applications both in Physics and Mathematics (see for example [ref] – [ref] for reviews).

    A Note on Shape Invariant Potentials for Discretized Hamiltonians · Introduction · 1.00

  • One of the reasons is that SUSY QM is tightly related to other approaches used in the past to address this kind of systems, e.g., the factorization method, Darboux transformation and intertwining technique [ref] .

    Trends in supersymmetric quantum mechanics · Introduction · 0.82

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