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Invariance of Witten's quantum mechanics under point canonical transformations

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Gabriel Gonzalez

Mathematical Physics · Submitted 12 Jun 2019

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

The authors' main claim We show that the supersymmetric algebra of Witten's quantum mechanics is invariant under a given point canonical transformation.

how it is stated · asserted 1.00 read the record →

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arXiv ID1906.05424 (version 2)
Pith IDQL7AV4QD, Pith's permanent record of this paper and its review
CitationGabriel Gonzalez. "Invariance of Witten's quantum mechanics under point canonical transformations." arXiv:1906.05424 (2019). https://pith.science/paper/QL7AV4QD
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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, 2,959 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.67 · human participants 0.01 · controlled comparison 0.22 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.34 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We show that the supersymmetric algebra of Witten's quantum mechanics is invariant under a given point canonical transformation. It is shown that Witten's supersymmetric quantum mechanics can be isospectral or not to the seed Hamiltonian depending on the space coordinate you work on. We illustrate our results by generating a new class of exactly solvable supersymmetric partner Hamiltonians which are not isospectral to the seed Hamiltonian.

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 show that the supersymmetric algebra of Witten's quantum mechanics is invariant under a given point canonical transformation. result 0.83 0.94 0.74 asserted 1.00
s1 It is shown that Witten's supersymmetric quantum mechanics can be isospectral or not to the seed Hamiltonian depending on the space coordinate you work on. result 1.00 0.83 0.29 asserted 0.88
s2 We illustrate our results by generating a new class of exactly solvable supersymmetric partner Hamiltonians which are not isospectral to the seed Hamiltonian. contribution 0.81 0.94 0.19 asserted 1.00

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

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  • 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 show that the supersymmetric algebra of Witten's quantum mechanics is invariant under a given point canonical transformation. It is shown that Witten's supersymmetric quantum mechanics can be isospectral or not to the seed Hamiltonian depending on the space coordinate you work on. We illustrate our results by generating a new class of exactly solvable supersymmetric partner Hamiltonians which are not isospectral to the seed Hamiltonian.

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