Pith. Sign in

RECORD

On supersymmetries in nonrelativistic quantum mechanics

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
J. Beckers, N. Debergh, A.G. Nikitin

Mathematical Physics · Submitted 10 Aug 2005

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

The authors' main claim Their supersymmetries are determined and their closed subsets generating kinematical invariance Lie superalgebras are pointed out.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv IDmath-ph/0508021 (version 1)
Pith IDAPPVDWJK, Pith's permanent record of this paper and its review
CitationA.G. Nikitin, J. Beckers, N. Debergh. "On supersymmetries in nonrelativistic quantum mechanics." arXiv:math-ph/0508021 (2005). https://pith.science/paper/APPVDWJK
Claim paper

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.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,541 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.16 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

One-dimensional nonrelativistic systems are studied when time-independent potential interactions are involved. Their supersymmetries are determined and their closed subsets generating kinematical invariance Lie superalgebras are pointed out. The study of even supersymmetries is particularly enlightened through the already known symmetries of the corresponding Schr\"odinger equation. Three tables collect the even, odd, and total supersymmetries as well as the invariance (super)algebras.

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 One-dimensional nonrelativistic systems are studied when time-independent potential interactions are involved. background 0.73 0.53 0.03 asserted 0.89
s1 Their supersymmetries are determined and their closed subsets generating kinematical invariance Lie superalgebras are pointed out. contribution 0.50 0.92 0.48 asserted 1.00
s2 The study of even supersymmetries is particularly enlightened through the already known symmetries of the corresponding Schr\"odinger equation. method 0.55 0.36 0.11 asserted 0.99
s3 Three tables collect the even, odd, and total supersymmetries as well as the invariance (super)algebras. contribution 0.68 0.86 0.13 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • 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

One-dimensional nonrelativistic systems are studied when time-independent potential interactions are involved. Their supersymmetries are determined and their closed subsets generating kinematical invariance Lie superalgebras are pointed out. The study of even supersymmetries is particularly enlightened through the already known symmetries of the corresponding Schr\"odinger equation. Three tables collect the even, odd, and total supersymmetries as well as the invariance (super)algebras.

Human review

How Pith checks papers → · Full audit of this paper →

How the literature uses it

1 arXiv paper cite this in 1 sentence

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

Compares with it 1 paper
  • In the superconformal case the embedded algebra may be enhanced to a supersymmetric version of the algebra[ Although some supersymmetric extensions of algebra are discussed in [ref] , there would be no overlap with our result.

    Super Schrodinger algebra in AdS/CFT · Introduction · 0.91

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.