One-parameter supersymmetric Hamiltonians in momentum space

Haret C. Rosu; Pisin Chen; Stefan C. Mancas

RECORD

One-parameter supersymmetric Hamiltonians in momentum space

Haret C. Rosu, Stefan C. Mancas, Pisin Chen

Mathematical Physics · Submitted 18 Sep 2014

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

The authors' main claim We extend the analysis of Curtright and Zachos by including the supersymmetric partner one-parameter deformation

how it is stated · asserted 0.99 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,401 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.06 · human participants 0.02 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.87 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Recent results on the one-parameter supersymmetric deformation in momentum space by Curtright and Zachos (2014 J. Phys. A: Math. and Theor. 47 145201; arXiv:1311.6147v2) are presented in a more general framework following our own papers. We extend the analysis of Curtright and Zachos by including the supersymmetric partner one-parameter deformation

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Recent results on the one-parameter supersymmetric deformation in momentum space by Curtright and Zachos (2014 J. Phys. A: Math. and Theor. 47 145201; arXiv:1311.6147v2) are presented in a more general framework following our own papers.	background 0.80	0.22	0.08	asserted 0.98
s1	We extend the analysis of Curtright and Zachos by including the supersymmetric partner one-parameter deformation	contribution 1.00	0.87	0.25	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.92 · evidence from proof or derivation 0.51.

What was examined, and what was not

sources read

arXiv listing abstract v2

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

Recent results on the one-parameter supersymmetric deformation in momentum space by Curtright and Zachos (2014 J. Phys. A: Math. and Theor. 47 145201; arXiv:1311.6147v2) are presented in a more general framework following our own papers. We extend the analysis of Curtright and Zachos by including the supersymmetric partner one-parameter deformation

Human review

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

How the literature uses it

2 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

Builds on it 1 paper

(2014) [ref] .

The generalized zero-mode supersymmetry scheme and the confluent algorithm · Concluding remarks · 0.95

Cites it as background 2 papers

In their recent work [ref] , Rosu et al. present and discuss several interesting examples of quantum potentials and their associated zero-energy solutions that are constructed through a method inspired by the quantum-mechanical supersymmetry (SUSY) formalism [ref] .

The generalized zero-mode supersymmetry scheme and the confluent algorithm · Introduction · 0.88
Models of classical systems with branched structures [ref] , in either coordinate ($x$) space or in its momentum ($p$) counterpart, have of late been a subject of active theoretical inquiry [ref] .

Branched Hamiltonians for a class of Velocity Dependent Potentials · Introduction · 1.00

Discussion

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