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Spiked oscillators: exact solution

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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F. J. Gomez, J. Sesma

Quantum Physics · Submitted 3 Mar 2011

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

The authors' main claim A procedure to obtain the eigenenergies and eigenfunctions of a quantum spiked oscillator is presented.

how it is stated · asserted 1.00 read the record →

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arXiv ID1103.0736 (version 1)
Pith ID7XPHFIIR, Pith's permanent record of this paper and its review
CitationF. J. Gomez, J. Sesma. "Spiked oscillators: exact solution." arXiv:1103.0736 (2011). https://pith.science/paper/7XPHFIIR
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,879 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

A procedure to obtain the eigenenergies and eigenfunctions of a quantum spiked oscillator is presented. The originality of the method lies in an adequate use of asymptotic expansions of Wronskians of algebraic solutions of the Schroedinger equation. The procedure is applied to three familiar examples of spiked oscillators.

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 procedure to obtain the eigenenergies and eigenfunctions of a quantum spiked oscillator is presented. contribution 0.93 0.91 0.44 asserted 1.00
s1 The originality of the method lies in an adequate use of asymptotic expansions of Wronskians of algebraic solutions of the Schroedinger equation. contribution 0.85 0.85 0.13 asserted 1.00
s2 The procedure is applied to three familiar examples of spiked oscillators. contribution 0.54 0.93 0.12 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.96 · evidence from proof or derivation 1.00.

What was examined, and what was not

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not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • 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

A procedure to obtain the eigenenergies and eigenfunctions of a quantum spiked oscillator is presented. The originality of the method lies in an adequate use of asymptotic expansions of Wronskians of algebraic solutions of the Schroedinger equation. The procedure is applied to three familiar examples of spiked oscillators.

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